The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father
Solution:
Consider the present age of the father as x years.
Let the present age of his two children be y and z years.
From the question,
x = 2(y + z)-----------------(1)
After 20 years,
(x + 20) = (y + 20) + (z + 20)
y + z + 40 = x + 20
y + z = x - 20.
Substitute the value of (y + z) in(1), we get
x = 2(x - 20)
x = 2x - 40
x = 40.
Therefore, the father’s age is 40 years.
✦ Try This: The age of the father is twice the sum of the ages of his two children. After 30 years, his age will be equal to the sum of the ages of his children. Find the age of the father
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 3
NCERT Exemplar Class 10 Maths Exercise 3.3 Problem 17
The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father
Summary:
The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. The age of the father is 40 years
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