Question 888009
let a = the 10's digit
let b = the units
then
10a + b = "the number"
"
Write an equation for each statement
:
"The tens digit of a two digit number exceeds the units digits by 4."
a = b + 4
:
" If the digits are reversed, the sum of the new number and the original number is 
(10b+a) + (10a+b) = 154
Combine like terms
10a + a + 10b + b = 154
11a + 11b = 154
Simplify, divide equation by 11
a + b = 14
replace a with (b+4)
b + 4 + b = 14
2b = 14 - 4
2b = 10
b = 5
then
a = 9
 Find the original number. 95
:
;
Check this: 59 + 95 = 154