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Ajay, Vijay and Sujay are three brothers. Ajay and Vijay are twins. The sum of the ages of Ajay and Vijay is same as that of Sujay alone. 4 years earlier the ratio of age of Ajay and Sujay was 3 ∶ 7. What will be the age of Sujay 8 years hence?

Ajay, Vijay and Sujay are three brothers. Ajay and Vijay are twins. The sum of the ages of Ajay and Vijay is same as that of Sujay alone. 4 years earlier the ratio of age of Ajay and Sujay was 3 ∶ 7. What will be the age of Sujay 8 years hence? Correct Answer <strong style=""><span lang="EN-IN" style=" line-height: 115%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial; font-weight: normal;">40 years</span></strong>

Given:

Ajay and Vijay are twins.

The sum of the ages of Ajay and Vijay is same as that of Sujay alone.

4 years earlier the ratio of age of Ajay and Sujay was 3 ∶ 7.

Formula:

If ratio of A and B is = x ∶ y

∴ A / B = x / y

Calculation:

Let, present age of Ajay and Vijay = x

∴ Present age of Sujay = (x + x) = 2x

According to the question,

⇒ (x - 4) / (2x - 4) = 3 / 7

⇒ 7x - 28 = 6x - 12

⇒ x = 16

∴ Age of Sujay 8 years hence = 2 × 16 + 8 = 32 + 8 = 40 years

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