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…

CBSE Class 10 Maths PYQ · Linear Equations · Word problems · 3 Marks · July 2023 · Standard

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813 Marks · July 2023 · Standard
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 present age of the father.
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Let the present age of the father be '$x$' years
and the sum of present ages of his two children be '$y$' years
A.T.Q.
$x = 2y$ ----- (1)
$x + 20 = y + 40$ ----- (2)
Solving (1) and (2), we get $x = 40$
Hence, the present age of the father is $40$ years.
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