Question

Six years ago, Kriti's age was one- fourth of her present age. What will be her age after 7 years?

Answer 1

Answer:

Hope this will help you

Answer 2

6 years ago Kirti's age was \frac{1}{4}th

4

1

th of her present age

To find:

Kirti's present age after 7 years

Solution:

Lets assume "x" years as Kirti's present age.

So,

Age 6 years ago will be "x - 6" years

According to the question, we can write the equation as

x - 6 = \frac{1}{4} xx−6=

4

1

x

⇒ 4(x - 6) = x4(x−6)=x

⇒ 4x - 24 = x4x−24=x

⇒ 4x - x = 244x−x=24

⇒ 3x = 243x=24

⇒ x = \frac{24}{3}x=

3

24

⇒ x =x= 8 years ← present age of Kirti

Now,

Age after 7 years will be "x + 7" years

∴ Kirti's present age after 7 years = 8 + 7 = 15 years

Thus, Kirti present age will be 15 years after 7 years.

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