Question

A father's age is thrice the sum of the ages of his two children. After five years, his age will be

Answer 1

Answer: 45 years old

Step-by-step explanation:

Given:

- Father's age is thrice the sum of ages of his two children

- After five years, his age will be twice the sum of their ages

Let x be the two children's current age and 3x be the father's current age

Solve:

Set equation

3x + 5 = 2 ( x + 10 )

Expand parenthesis

3x + 5 = 2x + 20

Subtract 5 on both sides

3x + 5 - 5 = 2x + 20 - 5

3x = 2x + 15

Subtract 2x on both sides

3x - 2x = 15

x = 15

15 × 3 = 45 years old

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