SOLUTION: The tens digit of a two digit number exceeds the units digits by 4. If the digits are reversed, the sum of the new number and the original number is 154. Find the original number
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Question 888009: The tens digit of a two digit number exceeds the units digits by 4. If the digits are reversed, the sum of the new number and the original number is 154. Find the original number. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! 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
