S

Siddharth M • 1.75K Points
Master Math

(A) 20, 30, 40, 50
(B) 20, 25, 30, 35
(C) 30, 35, 40, 45
(D) 30, 40, 50, 60
Correct Answer - Option(C)
Explanation by: Siddharth M
Given :- Average age of A and C = 35 years
⇒ A + C = 70 years ......... ( ⅰ )
Average age of B, and D = 40 years.
⇒ B + D = 80 years ......... ( ⅱ )
and Average age of B, C and D = 40 years.
⇒ B + C + D = 120 years ......... ( ⅲ )
With the help of equations ( ⅰ ) , ( ⅱ ) and ( ⅲ ) , we get
∴ age of C = 40 years and age of A = 30 years
According to question ,
∴ age of A + age of D = age of B + age of C
⇒ A + D = B + C
⇒ 30 + D = B + 40 ⇒ D – B = 10
∴ age of B = 35 years and age of D = 45 years

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