Question : The ratio of the father's age to his son's age is 5 : 3. The product of the numbers representing their ages is 960. The ratio of their ages after 6 years will be:Option 1: 23 : 15Option 2: 23 : 17Option 3: 21 : 15Option 4: 21 : 17 (2024)

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Question : The ratio of the father's age to his son's age is 5 : 3. The product of the numbers representing their ages is 960. The ratio of their ages after 6 years will be:

Option 1: 23 : 15

Option 2: 23 : 17

Option 3: 21 : 15

Option 4: 21 : 17

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Question : The ratio of the father's age to his son's age is 5 : 3. The product of the numbers representing their ages is 960. The ratio of their ages after 6 years will be:Option 1: 23 : 15Option 2: 23 : 17Option 3: 21 : 15Option 4: 21 : 17 (1) Team Careers360 18th Jan, 2024

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Correct Answer: 23 : 15


Solution : The ratio of the ages of father to his son = 5 : 3
Let the age of the father = $5x$
The age of the son =$3x$
Product of their ages = 960
⇒ $(5x)(3x) = 960$
⇒ $15x^2= 960$
⇒ $x^2= 64$
⇒ $x = 8$
So, the age of father = $5x$ = 5 × 8= 40years
⇒The age of son = $3x$ = 3 × 8 = 24years
The age of father and son after 6years will be
⇒Father's age = 40 + 6= 46years
⇒Son's age = 24 + 6= 30 years
⇒The ratio of the ages of father to son = Father's age : Son's age = 46 : 30 = 23 : 15
Hence, the correct answer is 23 : 15.

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Question : The ratio of the father's age to his son's age is 5 : 3. The product of the numbers representing their ages is 960. The ratio of their ages after 6 years will be:Option 1: 23 : 15Option 2: 23 : 17Option 3: 21 : 15Option 4: 21 : 17 (8)

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Question :  The ratio of the father's age to his son's age is 5 : 3. The product of the numbers representing their ages is 960. The ratio of their ages after 6 years will be:Option 1: 23 : 15Option 2: 23 : 17Option 3: 21 : 15Option 4: 21 : 17 (2024)

FAQs

What is the ratio of father's age to son's age if their ages are 35 years? ›

The average age of man and his son is 35 years. The ratio of their ages is 5:2 respectively.

What is the ratio of age of father and son at present is 6 1 after 5 years? ›

After five years, the ratio of their ages (father's age and son's age) will become 7: 2. Hence, Present age of son = x = 5 years. Present age of father = 6x = 6(5) = 30 years.

What is the sum of ages of father and son is 35 and product of their ages is 150? ›

the son's age (Y) = 5 yrs and father's age (X) = 30 yrs.

How do you calculate father's age? ›

If the age of a person is 'x', then 'n' years after today, the age = x + n. Similarly, n years in the past, the age of this would have been x – n years. Answer: Suppose that the present age of the son is = x years. Then the father's age is (60 -x) years.

Is a father's age 3 times the sum of ages of his two children after 5 years? ›

Hence, father age =45 years. Father's age is three times the sum of age of his two children. After 5 years his age will be twice the sum of ages of two children. Find the age of father.

How do you calculate ratio of ages? ›

When the current age is x, age n years later = x + n. When the current age is x, age n years ago = x – n. The ages in a ratio a: b will be ax and bx. when the current age is x,1/n of the age is x/n.

Who is the father of ratio? ›

Answer. The theory of financial ratios was made popular by Benjamin Graham, who is popularly known as the father of fundamental analysis.

How many years ago was the ratio of their ages 3 5? ›

Detailed Solution

The ratio of their ages before some years is 3 : 5. Calculation: Let, x years ago, the ratio of their ages would have been 3 : 5 respectively. ∴ 10 years ago the ratio of their ages 3 ∶ 5.

What is the sum of the ages of a father and his son is 45 years five? ›

Therefore, the present age of father = 36 years and the present age of son = 9 years. Q. The sum of ages of a father and his son is 45 years. Five years ago, the product of their ages (in years) was 124.

What is the age of father the sum of ages of a father and son is 65? ›

Therefore, we get the value of x as 45, which means the age of the father is 45 years.

What is the age of father if the sum of the ages? ›

If the sum of the ages of a father and his son in years is 65 and twice the difference of their ages in years is 50, then the age of the father is: 45 years.

What percentage of first time fathers are over 40? ›

The study, published 30 August in Human Reproduction , used a federal repository of nearly 170 million birth records to find that the average dad is now 30.9 years old at their child's birth—and that 9% of newborns' fathers are at least 40 years old.

Is 35 an old dad? ›

Turns out, just as women enter the high risk category at the age of 35, the same is true for men. At this age, they start to develop issues with their sperm that can affect the offspring's overall health.

What is the average age of man and his son is 28 years? ›

The average age of the man and his son is 28 years. Hence their total age =56 years. Their ages are in the ratio of 3:1 hence Father's age is 3/4×56 = 42 years and Son's age is 14 years.

How old are average dads? ›

Furthermore, fathers were consistently older, at 30.7 years on average, than mothers, at 23.2 years on average, but the age gap has shrunk in the past 5,000 years, with the study's most recent estimates of maternal age averaging 26.4 years.

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