*Nikhil is 10 years younger than Rajat and their grandfather’s age is twice Rajat’s age. The sum of the ages of all the three is 150 years. Nikhil’s age is ___ years and their grandfather’s age is ___ years.*
1️⃣ 30 , 80
2️⃣ 25 , 90
3️⃣ 47 , 75
4️⃣ 65 , 70
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Hello dear my self RAVI Gupta from Ayodhya Uttar Pradesh India
Your Solution is Here
let age of Nikhil is = x
and Rajat age is = y
then their grandfather age= 2y
by first condition-
y = x + 10 ..........(i)
by second condition
x+y+2y = 150
x+3y = 150 ........(ii)
put value of 'y' in equation (ii) by equation (i)
x+3(x+10) =150
x+3x+30 =150
4x+30=150
4x=120
x=120/4
x= 30
from equation (i)
y =30+10
=40
then age of grandfather =2×40=80
so
age of Nikhil is=30
and his grandfather age = 80
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