Question
Eight years ago, the ratio of the ages of A and B was 3
: 5. The sum of their present ages is 56 years. What is the present age of the younger person?Solution
Let present ages of A and B be a and b. 8 years ago: (a − 8) : (b − 8) = 3 : 5 So, (a − 8)/(b − 8) = 3/5 ⇒ 5(a − 8) = 3(b − 8) ⇒ 5a − 40 = 3b − 24 ⇒ 5a − 3b = 16 …(i) Also, a + b = 56 …(ii) From (ii), a = 56 − b. Substitute in (i): 5(56 − b) − 3b = 16 280 − 5b − 3b = 16 280 − 8b = 16 8b = 264 b = 33 Then a + b = 56 ⇒ a = 23. Younger person = 23 years.
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
Statements: S > V = T, U < X < T, W > U
Conclusions:
I. W > T
II. V > U
III. S > X
Statements: D = E ≥ M > H = L, H ≤ F < G ≤ J < I
Conclusions:
I. I > L
II. D ≥ F
III. G < EStatement: E < F ≤ G = H, I ≥ G ≤ J ≤ K
Conclusion: I. K > E Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. H > K
...Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) to complete the given expression...
Statements:
A ≥ T > I, D > I, U = P ≥ I
Conclusions:
I. U > D
II. A > I
Statements: Z > X = Y ≥ W; S ≥ I ≤ Q = Z
Conclusions:
I. W < Q
II. S ≥ Y
III. Y < S
Statement: F ≥ G > I > E ≤ P, E = S ≥ PÂ
Conclusion: I. F ≥ P          II. G > P
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and th...
Statements: B ≤ I; E = D; H > F; C ≤ H; I = D; A ≤ B; H < E
Conclusions:
(i) I > F
(ii) B ≤ H
(iii) A ≤ E
(iv) E > F
