A is younger than B by 7 years. If their ages are in the respective ratio of 7 : 9 then how old is A? Option 1: 31.5 years Option 2: 16.5 years Option 3: 24.5 years Option 4: 18.5 years

Answer: 24.5 years. Solution: Let A = 7x and B = 9x. Then 9x - 7x = 7, so 2x = 7 and x = 3.5. Hence A = 7 x 3.5 = 24.5 years.

Arithmetic

Ratio, Proportion & Variation

Easy

A is younger than B by 7 years. If their ages are in the respective ratio of 7 : 9 then how old is A?

31.5 years

16.5 years

24.5 years

18.5 years

✅ Correct Option: 3

Let A = $7x$ and B = $9x$ . Then $9x - 7x = 7$ , so $2x = 7$ and $x = 3.5$ . Hence A = $7 \times 3.5 = 24.5$ years.

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then

Match the LIST-I with LIST-II

LIST-I		LIST-II
A.	C : A	I.	32 : 7
B.	D : B	II.	24 : 7
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D.	A : E	IV.	5 : 8

Choose the correct answer from the options given below:

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A is younger than B by 7 years. If their ages are in the respective ratio of 7 : 9 then how old is A?

Solution

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