Question

a number with two digits is four times the sum of its digits .the number formed by reversing the order is 27 more than the it. Fine the number​

Answer 1

Two digit number = 10x+y

10x+y+27=10y+x; x+y=15

Subtract (x+y) from both sides

9x+27=9y

Divide by 9

x+3=y

3=y-x

add 15 to both sides

18=y-x+(x+y)

18=2y

y=9, x=6

10x+y = 69 is the number

Alternatively…

Reversing digits changes number by 27 indicates that y-x = 3

Sum of 15 with difference of 3… = 15/2 +or- 3/2 = 6&9

69 is the number