Question

A father's age is three times the sum of the ages of his two children, but 20 years hence his age will be equal to the sum of their ages . Then the father's age is?





Please solve this question.​

Answer 1

sum of sons age = x

father age is 3x

20 years later their age will be x+20 & 3×+20

thus 3x+20 = x

3x - x = -20

2×=-20

×=-10

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Answer 2

The age of his father would be 30 years.

Step-by-step explanation:

Let the sum of ages of his two children = x

Let the father's age be 3x

After 20 years,

Father's age = 3x+20

Sum of ages of his two children = x+40

According to question, we get that

$3x+20=x+40\\\\3x-x=40-20\\\\2x=20\\\\x=\dfrac{20}{2}=10$

Hence, the age of his father would be 3×10 = 30 years.

# learn more:

A father is three times as old as his son . After fifteen years the father will be twice as old as his son's age at that time. Hence what will be the fathers present age ?

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