Question

If twice the age of aditi is added to age of her father, the sum is 56. But if twice the age of the father is added to the age of aditi, the sum is 82. Find the ages of aditi and her father.

Answer 1

2x + y = 56

y = 56 - 2x

2y + x = 82

2y = 82 - x

y = 82 - x/ 2

so,

82 - x/2 = 56 - 2x

82 - 56 = - 2x + x/2

16 = -3x/2

32 = -3x

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