Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Average

Question:

The average weight of 3 persons A, B and C is 60 kg. When D joins the group, the average weight becomes 65 kg. When another person E whose weight is 3 kg less than that of D replaces A. the average weight of B, C, D and E becomes 67 kg. What is the weight of A ?

Options:

60 kg

69 kg

72 kg

65 kg

Correct Answer:

69 kg

Explanation:

Sum of weight of ,

A + B + C = 3 × 60 = 180 kg

D joins the group ,

A + B + C + D = 4 × 65 = 260 kg   -----(1)

Weight of D = 260 - 180 = 80 kg

Weight of E = 80 - 3 = 77 kg

Sum of weight of  ,

B + C + D + E = 4 × 67 = 268 kg     ----(2)

Put value of E in equation 2

B + C + D = 268 - 77 = 191 kg

By putting sum of B , C & D in equation 1

Weight of A = 260 - 191 = 69 kg