22. The age of a father is equal to the sum of the age
of his 5 children. After 15 years, sum of the ages or
the children will be twice the age of the father. Fim
the age of father.
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Answer:
30 years
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Let the age of Father be = x
Let the sum of ages of 5 children be = Y
After 15 years the father age be = ( X + 15 )
The sum of ages of 5 child's be = ( Y + 15 × 5). =
( Y + 75 )
According to the question
X = Y
Y + 75 = 2( X + 15)
Y + 75 = 2x + 30
Y + 75 = 2x + 30 using equation 1
75 - 30 = 2x - x
X = 45
The age of Father is = 45
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