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in Linear Equations by (34.1k points)
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The sum of father’s age and twice the age of his son is 70. If we double the age of the father and add it to the age of his son the sum is 95. Find their present ages.

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Let the present ages of father and son be x years and y years respectively. 

According to the first condition, 

x + 2y = 70 …(i) 

According to the second condition,

2x + y = 95 …(ii) 

Multiplying equation (i) by 2, we get 

2x + 4y = 140 …(iii) 

Subtracting equation (ii) from (iii), we get

Substituting y = 15 in equation (i), we get

x + 2(15) = 70 

⇒ x + 30 = 70 

⇒ x = 70 – 30 

∴ x = 40

∴ The present ages of father and son are 40 years and 15 years respectively.

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