Question

14. The sum of the digits of a certain two-digit number is 4. When you reverse its digits you decrease the number by 18. What is the number?

Answer 1

Step-by-step explanation:

If the tens digit of the number is X and the ones digit is Y then the number is equal to 10*X + Y

If you reverse the digits then the number is equal to 10*Y + X

If reversing the digits decreases the number by 36 then

10*Y + X = 10*X + Y - 36

The sum of the digits is 4 so X + Y = 4 ==> X = 4 - Y

Substitute this value of X into the 1st equation

10*Y + (4 - Y) = 10*(4 - Y) + Y - 36

9*Y + 4 = 40 - 9*Y - 36

18*Y = 0

Y = 0

I hope it helps you

So X = 4 - 0 = 4 and the number is 40

so, let's check 40 - 04 = 36