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Sanket’s age is 62.5% of his Mother’s age and 25% of his father’s age. If the age of his father 8 years back was 32 years then find the age of his mother 8 years hence?
1. 24 years
2. 16 years
3. 8 years
4. 32 years
5. 30 years

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Correct Answer - Option 1 : 24 years

GIVEN:

⇒ Sanket : Mother = 5x : 8x      ----(1)

⇒ Sanket : Father = 1x : 4x      ----(2)

CONCEPT:

1. Ratio balancing.

2. Difference between the ages of two people will remain the same.

CALCULATION:

Making ratio common.

⇒ Sanket : Mother : Father = 5x : 8x : 20x      ----(3)

Age of father 8 years back = 32 years.

Father’s present age = 40 years.

⇒ 20x = 40 years

⇒ 1x = 2 years

⇒ Present age of mother = 16 years.

⇒ Age of mother after 8 years = 24 years.

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