Question

The result of dividing a number of two digits by the number with digits
reversed is 7 by 4

. If the sum of digits is 9, find the number.

Answer 1

sj7e7eyheuuehheuuh3beyeyhebe

Answer 2

Answer:

84

Step-by-step explanation:

Let the unit digit is x. The ten's digit =(12 - x) [ because the sum of the digits of the two digit number is 12].

The value of the two digit number = 10 . (12 - x ) +x = 120 -10 x + x = 120 - 9x ———(1)

The value of the two digit number with unit and ten's digit interchanged = 10 x + (12 - x) = 9 x + 12 —-(2)

According to the statement of the problem the division of the original number by the new number obtained by interchanging the position of the unit and ten's digit is 7/4, is

(120 - 9 x)/(9 x + 12) = 7/4

Simplifying we get

480 - 36 x = 63 x + 84

==> 99 x = 396 or x = 4.

Therefore, the unit's digit = 4 and the ten's digit is = 8

Therefore the original number = 84.