I am three times as old as my son. Five years later, I shall be two and a half times as old as my
son. How old am land how old is my son?
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Answer:
Let my age be x years and my son’s age be y years.
Then at present, x=3y --- (1)
Five years later,
My age will be (x+5) and my son’s age will be (y+5) years.
From the statement given in question for 5 years later, we have
⇒(x+5)=(2+1/2)(y+5)
⇒(x+5)=(5/2)(y+5)
⇒2x+10=5y+25
⇒2x−5y−15=0 ---- (2)
Putting the value of x from equation (1) into equation (2), we get
⇒2(3y)−5y−15=0
⇒y=15
From equation (1)
x=3yx=3×15x=45
Hence, my present age is 45 years and my son’s present age is 15 years.
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