the age of father is twice the sum of ages of his children then.find the present age of father
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Answer:
The age of a father is twice the sum of ages of his children then, find the present age of father, if after 20 years his age will be equal to the sum of ages of his children.
The father's age is 40 years and the sum of the ages of the two children is 20 years.
Step-by-step explanation:
Let the sum of the age of the two children be x.
If the sum of the age of the two children is x, the fathers age is 2× x = 2x ( given in the question)
Therefore the sum of the age of his children is x and his age is 2x
After 20 years
After 20 years each one of their ages will increase with 20 years
Therefore the father will be 2x + 20 years
The sum of his children's age will be x + 20 + 20 years ( each child's age increases by 20)
Therefore their new ages is x + 20 + 20 = x + 40
Fathers age after 20 years = 2x + 20
Sum of his children's age after 20 years = x + 40
⇒ We are given in the question that after 20 years the sum of the ages of his children will be equal to his age
∴ 2x + 20 = x + 40
2x - x = 40 - 20
x = 20
Therefore the present sum of the ages of the two children,x, is 20 years
That means, the present age of the father, 2x, is 2 × 20 = 40 years
∴ The father's present age is 40 years.