Question
The sum of the digits of a two-digit number is 7. If 45 is
subtracted from this number, the digits reverse their positions. What is the original number?Solution
Let ones and tens digit of the number be 'a' and 'b' respectively.
So, original number = 10b + a
Reverse number = 10a + b
So, a + b = 7 --------- (I)
And, 10b + a - 45 = 10a + b
Or, 9b - 9a = 45
Or, b - a = 5 ---------- (II)
On adding equation I and II,
We get, a + b + b - a = 7 + 5
Or, 2b = 12
Or, 'b' = 6
On putting value of 'b' in equation I,
We get, 6 + a = 7
Or, 'a' = 1
Required number = 10 x 6 + 1 = 61
Statements: P > R = S; T > S > U; Q < U = V
Conclusions:
I. Q < P
II. T > V
III. R ≥ V
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 the question, assuming the given statements to be true, find which of the conclusion (s) among given four conclusions is/are definitely true and the...
Statements:
A < W ≤ T < Y = O; V < S > K ≥ F > O
Conclusions:
I). W < S
II). Y ≥ K
...Statements: J > O > B < N = T ≥ S < C < I ≤ P
Conclusion
I: P > B
II: N > S
Which of the following symbols should replace the sign (*) and ($) respectively in the expression ' B ≥ T ≥ D = Q = S * V ≤ F $ H ' in order to ma...
Statements: I % C, C & D, D $ K, K # Z
Conclusions: I. I & DÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. D # Z
...Statement: F ≥ G > I > E ≤ P, E = S ≥ PÂ
Conclusion: I. F ≥ P         II. G > P
Statements: K > L ≥ M > N, N < O < P = J
Conclusion:
 I. K ≥ O
II. P > L
III. L > J
Statements: U < P = I ≤ V < T ≤ R = W > H = Z > O
Conclusions:
I. U < W
II. R > O
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