Question 59

Vishal is 20 years younger to Arya. Twelve years hence Arya's age will be 1.25 times that of Vishal. Arya is now ......... years old.

Solution

Vishal's age = Arya's age - 20 Eq.(1)

Arya's age + 12 = 1.25 (Vishal's age + 12) Eq.(2)

Put Eq.(1) in Eq.(2).

Arya's age + 12 = 1.25 (Arya's age - 20 + 12)

Arya's age + 12 = 1.25 (Arya's age - 8)

Arya's age + 12 = 1.25Arya's age - $$1.25\times8$$

.25Arya's age = 12 + 10

Arya's age = $$\frac{22}{.25}$$

Arya's age = 88 years

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