Question

The son's present age is half the present age of his mother. Ten years ago, the mother was thrice as old as her son. What are their present ages?

Answer 1

Answer:

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Answer 2

Given:-

• Perimeter age of the son is half the perimeter age of his mother.
• The year age, the mother was thrice as old her son.

To find:-

• Find the present age of son and mother..?

Solutions:-

• Let the present age of son be x years.
• Let the present age of mother be y years.

Present age of the son is half the present age of his mother.

=> y = 2x ..........(i).

Ten years age, the mother was thrice as old as her son.

• Mother's age = (y - 10) years
• Son's age = (x - 10) years

=> y - 10 = 3(x - 10)

=> y - 10 = 3x - 30

=> y - 3x = -30 + 10

=> y - 3x = -20

Putting the value of y from Eq (i).

=> 2x - 3x = -20

=> -x = -20

=> x = 20

Putting the value of x in Eq (i).

=> y = 2x

=> y = 2 × 20

=> y = 40

Hence, the present age of mother and son are 40 years and 20 years.