Question
Download Solution PDFIn a family, the age of father, mother, son, and grandson are A, B, C, and D respectively. Given that A - B = 3, B + C = 78, C + D = 33 and the average age of the family is 34 years, then (B - C) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A - B = 3, B + C = 78, C + D = 33 and the average age of the family is 34 years
Formula used:
Total age = Average age × total number of peoples
Calculation:
Total age of the family = 4 × 34 = 136 years
A + B + C + D = 136
⇒ A + B = 136 – 33 (∵ C + D = 33)
A + B = 103 years ---- (i)
A – B = 3 years (Given) ----- (ii)
From (i) and (ii)
2A = 106 years
∴ A = 53 years
B = 103 – 53 = 50 years ( from i )
Also C + B = 78 (Given)
⇒ C = 78 – 50 = 28 years
∴ B – C = 50 – 28 = 22 years
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