Question

In a school there was an activity conducted in maths subject for the students of class 8. The activity was all
about to find the ages of their particular family members. One of the students, Lakshmi found that her father
is 26 years younger than Lakshmi's grandfather and 29 years older than Lakshmi. The sum of the ages of all
three is 135 years. Lakshmi's aunt Deepa's age is 4 times Lakshmi's present age?
a)What is the age of Lakshmi?​

Answer 1

Answer:

17 years.

Step-by-step explanation:

Let's consider Lakshmi's father as x.

If Lakshmi's father is x, then,

Lakshmi's grandfather = x + 26

Lakshmi = x - 29.

The three people's sum is given = 135 years.

x + (x + 26) + (x - 29) = 135

= (x + x + x) + (26 - 29) = 135

3x + (-3) = 135.

3x - 3 = 135

3x = 135 + 3

3x = 138.

x = 138 ÷ 3

x = 46.

So, x = Lakshmi's father = 46 years

Lakshmi = x - 29 = 46 - 29 = 17 years.

Therefore, Lakshmi's age is 17 years.