The ratio of the present age of father to that of son is 7:2. After 10 years their ages will be in the ratio of 9:4. The present ages of the father isa)35 yearsb)40 yearsc)30 yearsd)25 yearsCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

Given information:
- The present age ratio of father and son is 7:2.
- After 10 years, their age ratio will be 9:4.

Let's assume the present age of father and son as 7x and 2x respectively.

After 10 years, their age will be (7x+10) and (2x+10) respectively.

Now, according to the given information, their age ratio after 10 years will be 9:4. Therefore,

(7x+10)/(2x+10) = 9/4

Solving this equation, we get x = 5.

So, the present age of father = 7x = 7*5 = 35 years.

Therefore, option A is the correct answer.

Answer

Let father age be X and son age be Y. Then
X/Y = 7/2
2X = 7Y ..... (1)
After ten years ,
(X+10)/(Y+10) = 9/4
4(X+10) = 9(Y+10)
4X + 40 = 9Y + 90
4X = 9Y + 50
2×2X = 9Y + 50

putting the value to 2X by equation 1

2×7Y = 9Y + 50
14Y = 9Y + 50
5Y = 50
Y = 10
Son age is 10 years .

putting the value of Y in equation 1

2X = 7Y
X = 7/2Y
X = 7/2×10
X = 70/2
X = 35
Father age is 35.

Similar CA Foundation Doubts

The ratio of present age of a father to that of his son is 5:3.Ten years hence the ratio would be 3:2.Find their present age now?

Appu retires at 60 years receiving a pension of 14,400 a year paid in half-yearly installments for rest of his life after reckoning his life expectation to be 13 years and that interest at 4% pa is payable half-yearly. What single sum is equivalent to his pension?

Appu retires at 60 years receiving a pension of 14,400 a year paid in half-yearly installmentsfor rest of his life after reckoning his life expectation to be 13 years and that interest at 4%p.a. is payable half-yearly. What single sum is equivalent to his pension?(

Appu retires at 60 years receiving a pension of 14400, a year paid in half yearly installments for rest of his life after recknowing his life expectations to be 13 years and that interest at 4%p.a. is payable half yearly. (

Appu retires at 60 years receiving a pension of 14,400 a year paid in half-yearly installments for rest of his life after reckoning his life expectation to be 13 years and that interest at 4% nà is payable half-yearly. What single sum is equivalent to his pension?

Top Courses for CA FoundationView all

Quantitative Aptitude for CA Foundation

Accounting for CA Foundation

Business Laws for CA Foundation

Business Economics for CA Foundation

Mock Tests & Past Year Papers for CA Foundation

Top Courses for CA Foundation

Top Courses for CA Foundation

Related Content

CA Foundation Courses

Other Courses

How To Prepare?

Other Exams

Company