Question
When the digits of a two-digit number are interchanged,
the new number becomes 11 more than 120% of the original number. If the sum of the digits is 8, 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:Â
10y + x = 1.2 × (10x + y) + 11
Multiplying both sides by 5,Â
50y + 5x = 60x + 6y + 55Â
⇒ 55x − 44y = −55 …. (I)
And, x + y = 8 …. (II)
From (II), x = 8 − y. Substitute in (I):Â
55(8 − y) − 44y = −55Â
440 − 99y = −55Â
99y = 495Â
y = 5
Then x = 8 − 5 = 3.Â
So, original number = (10 × 3 + 5) = 35.
What should come in place of (?) question mark in the given number series.
81, 73, 66, 60, 55, ?
14 6 4 4 ? 48
...What should come in place of (?) question mark in the following number series.
5, 11, 23, 47, 95, ?
In each of the following number series, one term is missing. Find the missing term.
1, 4, 9, 16, 25, ?
What will come in place of the question mark (?) in the following series?
4, 11, 32, 95, 284, 851, ?
156, 182, 210, 240, 272, ?
31    32      35      ?      47       56
...What should come in place of (?) question mark in the following number series.
1, 2, 6, 24, 120, ?
What value should come in the place of (?) in the following number series?
71, 72, 76, 103, ?, 244254, ?, 1022, 1150, 1214, 1246
