Question

Sum of the present ages of anu and binu is 65.after five years anu's age will be four times binus age. What are their ages now?​

Answer 1

The sum of the ages of father and his son is 65 years. After 5 years, fathers age will be twice the age of his son. Express this as a pair of linear equations ......

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Answer 2

Answer:

Answer:

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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Sum of anu and binu's age is 65

After 5 years anu's age will be 4 times the binu's age

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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Present age of anu and binu = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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Let anu's present age be x

Let Binu's present age be y

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Acc. to the first statement :-

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x + y = 65 --- ( i )

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After 5 years

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Anu's age = x + 5

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Binu's age = y + 5

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Acc. to the second statement :-

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x + 5 = 4( y + 5 )

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x + 5 = 4y + 20

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x - 4y = 20 - 5

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x - 4y = 15 --- ( ii )

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Subtracting eq ( ii ) from ( i )

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x + y - ( x - 4y ) = 65 - 15

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x + y - x + 4y = 65 - 15

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y + 4y = 65 - 15

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5y = 65 - 15

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5y = 50

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y = 50 / 5

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y = 10 ⠀

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putting value of y in eq ( i )

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x + y = 65

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x + 10 = 65

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x = 65 - 10

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x = 55

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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Anu's age = 55

Binu's age = 10