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Age of Sonali is three times more than the age of her son Joy. After 4 years, she would be 2.6 times the age of Joy. Before 8 years, Sonali’s age was how many times the age of Joy?

Age of Sonali is three times more than the age of her son Joy. After 4 years, she would be 2.6 times the age of Joy. Before 8 years, Sonali’s age was how many times the age of Joy? Correct Answer 5

Suppose the present ages of Sonali and her son Joy are 3x and x respectively;

After 4 years :

(3x + 4) = 2.6(x + 4)

⇒ 0.4x = 10.4 – 4

⇒ 0.4x = 6.4

⇒ x = 16

Present ages of Sonali and her son Joy = 48 and 16 years

Now,

Before 8 years :

Age of Sonali = 48 – 8 = 40

Age of Joy = 16 – 8 = 8

Hence,

Sonali’s age was 5 times the age of Joy 8 years before.

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