MATH SOLVE

2 months ago

Q:
# A number consist of 2 digits whose sum is 8, If 8 is subtracted from the number, the digits interchange their place. The number is

Accepted Solution

A:

Step-by-step explanation:Let's say the two digit number is 10x + y, where x is the first digit and y is the second digit.The sum of the digits is 8:x + y = 8If 8 is subtracted from the number, the digits switch place.10x + y − 8 = 10y + xSimplify the second equation:9x − 8 = 9ySubstitute from the first equation.y = 8 − x9x − 8 = 9 (8 − x)9x − 8 = 72 − 9x18x = 80x = 4.444There's a problem. x isn't an integer. Are you sure you copied the problem correctly? Perhaps you meant if 18 is subtracted from the number, the digits switch place.9x − 18 = 9 (8 − x)9x − 18 = 72 − 9x18x = 90x = 5y = 8 − xy = 3So the number is 53.