Question
When the digits of a two-digit number are interchanged,
the new number becomes 19 less than 150% of the original number. If the sum of the digits is 11, find the original number.Solution
Let the unit digit and tens digit of the original number be ‘y’ and ‘x’, respectively.
Original number = (10x + y)
According to the data given:
10y + x = 1.5 × (10x + y) − 19
Multiplying both sides by 2,
20y + 2x = 30x + 3y − 38
⇒ 28x − 17y = 38 …. (I)
And, x + y = 11 …. (II)
From (II), x = 11 − y. Substitute in (I):
28(11 − y) − 17y = 38
308 − 45y = 38
45y = 270
y = 6
Then x = 5.
So, original number = 10 × 5 + 6 = 56.
P is the father of S, whose mother is Q. R is the sister of Q. What does P's father-in-law have to relate to R's husband?
What would be the word on the opposite side of 'Eat' if the given sheet is folded to form a cube?
Select the missing number from the given series.
41, 83, 168, 339,?
What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘÷’ are interchanged and ‘×’ and ‘–’ are interchanged?<...
Change the question mark with the option that follows the logic applied to the first pair.
2018 : 22 :: 2022 : ??
Six persons P1, P2, P3, P4, P5 and P6 are sitting around a circular table facing towards the centre (not necessarily in the same order). Only two person...
Select the option which is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and t...
A @ B means A is the sister of B:
A # B means A is the father of B:
A & B means B is the wife of A.
Based on the above information,...
Select the figure that will replace the question mark (?) in the following figure series.
The two statements in this question and the two conclusions related to them are given in the form of i and ii, assuming that the statements given in the...
