Question
5 years ago from now, the ratio of age of 'A' and 'B'
was 9:5, respectively and 5 years hence from now, the ratio of their ages will become 11:7. Find the sum of their present ages.Solution
5 years ago from now, let the ages of 'A' and 'B' be '9x' years and '5x' years, respectively. Therefore, 5 years hence from now, age of 'A' = (9x + 5 + 5) = (9x + 10) years ATQ, (9x + 10)/(5x + 10)Â = 11/7 Or, 63x + 70 = 55x + 110 Or, 8x = 40 So, 'x' = 5 So, age of 'A', 5 years ago from now = 9x = 9 X 5 = 45 years And, age of 'B', 5 years ago from now = 5x = 5 X 5 = 25 years So, Present age of 'A' = 45 + 5 = 50 years And, Present age of 'B' = 25 + 5 = 30 years Required sum = 50 + 30 = 80 years Alternate Solution Ratio of ages of 'A' and 'B' 5 years ago from now = 9:5 And, Ratio of ages of 'A' and 'B' 5 years hence from now = 11:7 Since, the difference between age of 'A', 5 years ago and 5 years hence from now is 10 years Therefore, (11 - 9) = 2 units = 10 years
Statements: A @ Z, Z # L, L % N, N @ U
Conclusions:
I. A @ N
II. Z @ U
III. A # L
Statements: A ≤ J ≤ K = M; Y ≥ Z > A
Conclusions:
I. J ≤ Z
II. Z ˃ Y
Statement: K = B; D ≥ L ≥ T ≥ B
Conclusion: I. D > K II. D = K
Statements: U > H ≥ W; S > T ≥ B; S < H; C ≤ D = U
Conclusions:
I. D > B
II. T < U
III. W ≤ D
Statements:
E ≥ H > O < R > U = X
Conclusions:
I. E < O
II. X = O
In the question, assuming the given statements to be true, Find which of the conclusion (s) among given three conclusions is /are definitely true and t...
In this question, the relation between various elements is shown in the statement. After the statement, two conclusions are given, select a suitable op...
Statements: A % B & G @ T $ D; W % A # P
Conclusions :Â Â Â Â Â I. D % BÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. A % GÂ Â Â Â Â Â Â Â Â Â Â Â Â Â ...
Statements: V > R ≥ W < Z; X ≤ W; U < R ≤ Y
Conclusions:
I. X < Z
II. W < Y
III. Z > UÂ
Statements: A ≥ B ≥ C = M = N ≥ O ≤ P ≤ Y = Z
Conclusions:
I. Y > M
II. Z ≤ A
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