Question

Q.5) The present age of Ajay is 1.5 times of the
present age of Banu. Ajay's age after 11 years is
2.5 times of Banu's age 4 years ago. What is the
present age of Banu?​

Answer 1

GIVEN :

• Present age of Ajay is 1.5 times of the present age of Banu.
• Ajay's age after 11 years is 2.5 times of Banu's age 4 years ago.

To find :

Present age of Banu

Let :

• Present age of Banu = x years
• Present age of Ajay = y years

Solution :

First of all we will make Linear equation from given information and then will solve it

First condition -

Present age of Ajay is 1.5 times of the present age of Banu

➝ y = 1.5x equation 1

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Second condition -

Ajay's age after 11 years is 2.5 times of Banu's age 4 years ago.

➝ Ajay's age after 11 years = 2.5 × (Banu's age 4 years ago).

a) Ajay's age after 11 years = Ajay's present age + 11

➝ Ajay's age after 11 years = y + 11

b) Banu's age 4 year ago = Banu's present age - 4

➝ Banu's age 4 year ago = x - 4

This gives,

➝ y + 11 = 2.5×(x-4) equation 2

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Now put Value of y from equation 1 into equation 2.

➝ 1.5x + 11 = (2.5)×(x-4)

➝ 1.5x + 11 = 2.5x - (2.5×4)

➝ 1.5x + 11 = 2.5x - 10

➝ 2.5x - 1.5x = 11 + 10

➝ x = 21

Therefore , Present age of Banu = 21 years

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ANSWER : 21 years

Answer 2

$\huge\mathfrak\pink{Question}$

The present age of Ajay is 1.5 times of the present age of Banu. Ajay's age after 11 years is 2.5 times of Banu's age 4 years ago. What is thepresent age of Banu?

${\huge{\underbrace{\overbrace{\color{aqua}{Solution:-}}}}}$

• (Refer to attachment)

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