# Sudhir’s present age is 5 more than three times the age of Viru. Anil’s age is half the age of Sudhir. If the ratio of the sum of Sudhir’s and Viru’s age to three times Anil’s age is 5:6, then find Viru’s age.

let the age of Viru be Sudhir age = 3x + 5 According to given conditions,  Multiplying on both side Multiplying 3(3x + 5) on both sides

2(4x + 5) = 3(3x + 5)

Expanding

8x + 10 = 9x + 15

Adding on both side

X + 15 = 10

Adding on both side

x = – 5

But since age cannot be negative so, x = 5

Hence age is 5 years.

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