Question

Neha is 5 years younger than Karishma. Twelve years ago Karishma was twice as old as Neha. Find their present ages.

Answer 1

Answer:

Karishma age will be 17

neha's are will be 12

Answer 2

Given:

✰ Neha is 5 years younger than Karishma. Twelve years ago Karishma was twice as old as Neha.

To find:

✠ Their present ages.

Solution:

Let's understand the concept first! First you will assume the age of Neha as x and age of Karishma as y, then according to the question we know Neha is 5 years younger than karishma. Like this we will form first equation. After that we know 12 years ago Karishma was twice as old as Neha, same way, we will form another equation. We will calculate the value of x and y, that is both the age of Neha and karishma by using these equations. One should be careful while doing calculations in such type of questions.

Let's find out...✧

Let the present age of Neha be x and the present age of Karishma be y.

Neha is 5 years younger than Karishma.

➛ y - x = 5

➛ y = 5 + x ...①

According to question,

➛ y - 12 = 2 ( x - 12 )

Substituting the value of y i.e, eq①, we have

➛ 5 + x - 12 = 2x - 24

➛ x - 7 = 2x - 24

➛ 2x - x = - 7 + 24

➛ x = 17

∴ The present age of Neha = 17 years.

Now, find the present age of Karishma

Substituting the value of x i.e, eq①, we have

➛ y = 5 + x

➛ y = 5 + 17

➛ y = 22

∴ The present age of Karishma = 22 years

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