Question

Shivesh's age is three times his son's age . Ten years ago he was five times his son's age . Find their present ages.

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Answer 1

Step-by-step explanation:

Age of Shivesh is 60 years and age of his son is 20 yrs

Answer 2

Given Conditions

Shivesh's age is three times his son's age.

Let Shivesh's son's present age be s

Then, Shivesh's present age will be 3s

Ten years ago he was five times his son's age.

Therefore,

$\sf{3s - 10 = 5(s - 10)}$

$\sf \to{3s - 10 = 5s - 50}$

$\sf \to{ - 2s - 10 = - 50}$

$\sf \to{ - 2s = - 50 + 10}$

$\sf \to{ \cancel{-}2s = \cancel{-}40}$

$\sf \to{s = \cancel\frac{40}{2}}$

$\sf \to{s = 20}$

Hence,

Shivesh's son age = s = 20years

Shivesh's age = 3s = 3 × 20 = 60years.

Thus, their present ages are 20 and 60 years respectively.