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Ten years ago, a mother was thrice as old as her son. After 10 years, she will be twice as old as her son. What is the ratio of their present ages?
Question

Ten years ago, a mother was thrice as old as her son. After 10 years, she will be twice as old as her son. What is the ratio of their present ages?

A.

7 : 4

B.

7 : 3

C.

3 : 2

D.

4 : 3

Correct option is B

Solution:

Ten years ago, let the age of mother and her son be 3x and x respectively

According to the question

(3x+20)(x+20)=21\frac{(3x + 20)}{(x + 20)} = \frac21​​

=> 3x + 20 = 2x + 40

=> x = 20

Present age of mother = 3 × 20 + 10 = 70 years

Present age of her son = 1 × 20 + 10 = 30 years

∴ Present age ratio of mother to her son = 70 : 30 = 7 : 3

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