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Five years hence, fathers age will be...

Five years hence, fathers age will be three times the age of his son. Five years ago, father was seven times as old as his son. Find their present ages.

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The correct Answer is:
40 years, 10 years

Let the present ages of the man and his son by x years and y years respectively. Then,
` x + 5 = 3( y + 5) rArr x - 3y = 10" "`… (i)
`and x - 5 = 7( y - 5) rArr x - 7y = - 30." " `… (ii)
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RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES -Exercise 3E
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