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21 Apr 2022, 02:15
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
70% (03:35) correct
30%
(03:12)
wrong
based on 66
sessions
History
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Time
Result
Not Attempted Yet
Amit and Jaya are married. They have two children Abhi and Sush. Sush is 5 years younger than Abhi. Five years ago, Amit was twice as old as his son Abhi. The present age of Jaya is the average of Amit’s age and Abhi’s age. If the average age of all the members is 34years, then find the present age of Sush.
(A) 16 years
(B) 20 years
(C) 21 years
(D) 22 years
(E) 32years
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
(A) 16 years
(B) 20 years
(C) 21 years
(D) 22 years
(E) 32years
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
21 Apr 2022, 08:48
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In a question on ages, it is always a good idea to assume the present ages of all the persons described in the question.
Let the current age of Amit be A years, Abhi be ‘a’ years, Jaya be J years and Sushi be ‘s’ years.
Using the information given in the question, the following equations can be set up:
s = a – 5; therefore, a = s + 5.
A – 5 = 2(a – 5); since s = a – 5, A – 5 = 2s OR A = 2s + 5
J = \(\frac{(A + a) }{ 2}\); substituting the values of A and a from the equations above, we have,
J = \(\frac{(2s + 5 + s + 5) }{2}\) = \(\frac{(3s + 10) }{ 2}\)
\(\frac{A + J + a + s }{ 4}\) = 34; therefore, A + J + a + s = 136.
Substituting the values of each of these variables in terms of s, we have,
(2s + 5) + \(\frac{(3s + 10) }{ 2}\) + (s + 5) + s = 136
Simplifying the equation, we have, 11s + 30 = 272 OR 11s = 242 which yields,
s = 22.
The present age of Sush is 22 years.
The correct answer option is D.
Let the current age of Amit be A years, Abhi be ‘a’ years, Jaya be J years and Sushi be ‘s’ years.
Using the information given in the question, the following equations can be set up:
s = a – 5; therefore, a = s + 5.
A – 5 = 2(a – 5); since s = a – 5, A – 5 = 2s OR A = 2s + 5
J = \(\frac{(A + a) }{ 2}\); substituting the values of A and a from the equations above, we have,
J = \(\frac{(2s + 5 + s + 5) }{2}\) = \(\frac{(3s + 10) }{ 2}\)
\(\frac{A + J + a + s }{ 4}\) = 34; therefore, A + J + a + s = 136.
Substituting the values of each of these variables in terms of s, we have,
(2s + 5) + \(\frac{(3s + 10) }{ 2}\) + (s + 5) + s = 136
Simplifying the equation, we have, 11s + 30 = 272 OR 11s = 242 which yields,
s = 22.
The present age of Sush is 22 years.
The correct answer option is D.
