Question

Aruns’s father is three times as old as arun. If the sum of their ages is 56 years. Find their ages.

Answer 1

14,42

Explanation:

aruns age= x

fathers age=f

two equations

1.3x=f

2.x+f=56

substitute 1st equation into 2nd

x+3x=56

4x=56

x=14

f therefore equals 42

Answer 2

Answer: Arun = 14 years; Father = 42 years

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Work Shown:

x = Arun's age

3x = Father's age

Note the jump from x to 3x is "times 3"

Their ages sum to 56

x+3x = 56

4x = 56

x = 56/4

x = 14

Arun is currently 14 years old and the father is 3x = 3*14 = 42 years of age.

Check: 14+42 = 56 to confirm the answer.