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 what is father age .
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Let the present age (in year) of father and his two children be x, y and z yr, respectively.
Now by given condition, x=2(y+z) …(i)
and after 20 yr, (x + 20) = (y + 20) + (z + 20)
⇒ y+z +40 = x +20
⇒ y + z = x – 20
On putting the value of (y + z) in Eq. (i) and get the present age of father
x =2(x -20) x
= 2x – 40 = 40
Hence, the father’s age is 40 yr.
Now by given condition, x=2(y+z) …(i)
and after 20 yr, (x + 20) = (y + 20) + (z + 20)
⇒ y+z +40 = x +20
⇒ y + z = x – 20
On putting the value of (y + z) in Eq. (i) and get the present age of father
x =2(x -20) x
= 2x – 40 = 40
Hence, the father’s age is 40 yr.
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the age of father is 40 years
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