Question

A number consisting of two digits is four times the sym of its digits and if 27 be added to it the digits are reversed.The number is​

Answer 1

Answer: The number is 36.

Step-by-step explanation:

Let the digit of the number at ten's place be 'x' and the digit at unit's place be 'y'.

According to the question,

First equation: 10x + y = 4(x + y)

Second Equation: 10x + y + 27 = 10y + x

From the first equation,

10x + y = 4x + 4y

6x = 3y

2x = y

Substituting y = 2x in second equation...

10x + 2x + 27 = 10(2x) + x

12x + 27 = 21x

27 = 9x

x = 3

And, y = 2(3) = 6

Therefore, the number = 10x + y = 10(3) + 6 = 36