A father is 8 times as old as his son.2 years ago ,the father was 10 times as old as his son. How old are they now.
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father is 8 times as old as his son.2 years ago ,the father was 10 times as old as his son. How old are they now.
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Answer:
Present age of father is 49 years and that of his son is 7 years.
Step-by-step explanation:
Let the present age of the son be x.
Let the father's present age be y.
One year ago, y−1=8(x−1)
⇒y−1=8x−8
⇒y=8x−7
Now applying the condition, we get
(8x−7)=x
2
⇒x
2
−8x+7=0
⇒(x−1)(x−7)=0
⇒x=1 or x=7
Hence, the present age of son is either 1 year or 7 years.
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