CMAT 2017 Solved Question Paper

(a) 10 years
Let Abhinav's age be p years
Let Anupam's age be q years
Let Monu's age be r years
Let Pinku's age be s yearsAccording to the question,
p+ q+ r+ s= 45‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌...........(i)
(p + 2) + (q- 2)+ 2r+-= 45‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌...........(ii)
From Eqs. (i) and (ii), we get
r−

s

2

= 0
⇒ s = 2r ‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌...........(iii)
Also it is given, p+ q =

1

2

(r+ s)‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌‌...........(iv)
On putting the value of Eqs. (iii) and (iv) in Eq. (i),
we get r= 10 years
So, Monu's age r = 10 years