Question

Sum of the present age of anu and binu is 65. After five years Anus age will be four times binu age? Pls answer me

Answer 1

Solution :-

Let :-

Present age of Anu = x

Present age of Binu = y

After 5 years :-

Age of Anu = x + 5

Age of Binu = y + 5

According to the first condition :-

$\longrightarrow \sf x+y = 65 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ .................(1)$

According to the second condition :-

$\longrightarrow \sf x+5 = 4(y+5) \\\\\longrightarrow x+5 = 4y+20 \\\\\longrightarrow x-2y = 20-5 \\\\\longrightarrow x-2y = 15 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ .................(2)$

Equation (2) - Equation (1) :-

$\longrightarrow \sf 5y = 50 \\\\\longrightarrow \bf y = 10$

Substitute the value of y in eq (1) :-

$\longrightarrow \sf x+10 = 65 \\\\\longrightarrow \bf x = 55$

Present age of Anu = 55 years

Present age of Binu = 10 years

Answer 2

Answer:

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Let :-

• Present age of Anu = x

• Present age of Binu = y

After 5 years :-

• Age of Anu = x + 5

• Age of Binu = y + 5

According to the first condition :-

(1)⟶x+y=65 .................(1)

According to the second condition :-

⟶x+5=4(y+5)

⟶x+5=4y+20

⟶x−2y=20−5

⟶x−2y=15 .................(2)

Equation (2) - Equation (1) :-

⟶5y=50

⟶y=10

Substitute the value of y in eq (1) :-

⟶x+10=65

⟶x=55

• Present age of Anu = 55 years

• Present age of Binu = 10 years