10. A father's age is three times the sum of the ages of his two children. After 5 years, his age will
be 2 times the sum of their ages. Find the present ages of the father
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let his children age be x
then father's age will be 3x
after 5 years
children's age = x+5
father's age = 3x+5
but it is given that after 5 years father's age will be 2 times the age of his children
therefore, 3x+5 = 2(x+5)
= 3x+5 = 2x+10
=3x-2x = 10-5
= x = 5
therefore his children's present age = x = 5 years
father's present age = 3x = 15 years
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