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

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

______________________

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

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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

⠀⠀⠀⠀

Anu's age = x + 5

⠀⠀

Binu's age = y + 5

⠀⠀⠀⠀

____________________________________

⠀⠀

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 )

⠀⠀⠀⠀

x + y = 65

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x + 10 = 65

⠀⠀

x = 65 - 10

⠀⠀⠀⠀

x = 55

______________________

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

⠀⠀

Anu's age = 55

Binu's age = 10

Answer 2

⠀⠀⠀⠀

Sum of anu and binu's age is 65

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

______________________

⠀⠀⠀⠀

Present age of anu and binu = ??

______________________

⠀⠀⠀⠀

Let anu's present age be x

Let Binu's present age be y

⠀⠀⠀⠀

Acc. to the first statement :-

⠀⠀⠀⠀

x + y = 65 --- ( i )

⠀⠀⠀⠀

___________________________________

⠀⠀⠀⠀

⠀⠀⠀⠀

After 5 years

⠀⠀⠀⠀

Anu's age = x + 5

⠀⠀

Binu's age = y + 5

⠀⠀⠀⠀

____________________________________

⠀⠀

Acc. to the second statement :-

⠀⠀⠀⠀

x + 5 = 4( y + 5 )

⠀⠀⠀⠀

x + 5 = 4y + 20

⠀⠀

x - 4y = 20 - 5

⠀⠀⠀⠀

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

⠀⠀⠀⠀

Subtracting eq ( ii ) from ( i )

⠀⠀⠀⠀

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

⠀⠀

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

⠀⠀⠀⠀

y + 4y = 65 - 15

⠀⠀

5y = 65 - 15

⠀⠀

5y = 50

⠀⠀

y = 50 / 5

⠀⠀⠀⠀

y = 10 ⠀

⠀⠀⠀⠀

putting value of y in eq ( i )

⠀⠀⠀⠀

x + y = 65

⠀⠀⠀⠀

x + 10 = 65

⠀⠀

x = 65 - 10

⠀⠀⠀⠀

x = 55

______________________

⠀⠀

Anu's age = 55

Binu's age = 10

please brilliant mark .