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Q
Akbar will turn 50 when his son jehangir turns 18. What will be Akbar’s age, when his age is exactly 5 times that...
Akbar will turn 50 when his son jehangir turns 18. What will be Akbar’s age, when his age is exactly 5 times that of Jehangir ?
A
48
B
62
C
58
D
40
E
36
A
48
B
62
C
58
D
40
E
36
Solution
Let Akbar’s age = 50 years thenJehangir’s age = 18 yearsCaseI: after y years Akbar’s age is 5 times that of Jehangir’s age.50 + y = 5(18 + y)50 + y = 90 + 5yy = − 40Since, 18 − 40 =...
Let Akbar’s age = 50 years then
Jehangir’s age = 18 years
CaseI: after y years Akbar’s age is 5 times that of Jehangir’s age.
50 + y = 5(18 + y)
50 + y = 90 + 5y
y = − 40
Since, 18 − 40 = −22 years which is not possible caseI is invalid.
CaseII: before y years Akbar’s age is 5 times that of Jehangir’s age.
50 − y = 5(18 − y)
50 − y = 90 − 5y
4y = 40
y = 10
When Akbar’s age is (50 −10) 40 years it is 5 times that of Jehangir’s age (18 − 10) 8 years
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