Question

3. Sum of the present ages of Anu and Binu is 65 . After five years Anu's age will be four times binus age. What is their ages now

Answer 1

Answer:

present anu age is 55

present binu age is 10

Answer 2

$\huge{\blue{\bold{\underline{\underline{Answer :}}}}}$

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$\large{\green{\underline \bold{\tt{Given :-}}}}$

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• Sum of the present ages of Anu and Binu is 65

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• After five years Anu's age will be four times Binu's age

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$\large{\red{\underline \bold{\tt{To \: Find :-}}}}$

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• Their present ages

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$\large{\orange{\underline{\tt{Solution :-}}}}$

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• Let the present age of Anu be x

• Let the present age of Binu be y

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$\purple{\underline \bold{According \: to \: the \ question :}}$

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Sum of the present ages of Anu and Binu is 65

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➠ x + y = 65 ------- (1)

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$\underline{\bold{\texttt{Anu's age after 5 years :}}}$

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➠ x + 5

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$\underline{\bold{\texttt{Binu's age after 5 years :}}}$

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➠ y + 5

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Also given that , After five years Anu's age will be four times Binu's age

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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 ------ (2)

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⟮ Subtracting equation (2) from (1) ⟯

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➜ x + y - x + 4y = 65 - 15

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➜ 5y = 50

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➜ $\sf y = \dfrac { 50 } { 5 }$

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➨ y = 10 -------- (3)

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• Hence Binu's present age is 10 years

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⟮ Putting y = 10 from (3) to (1) ⟯

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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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• Hence Anu's present age is 55 years

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∴ The present ages of Anu & Binu is 55 years & 10 years respectively

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