Question 1161044
a = the 10's digit
b = the units
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Write an equation for each statement
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 The difference between the digits of a two-digit number is 1.
b - a = 1 (unit is greater than the 10's)
b = a + 1
 The number itself is 1 more than 5 times the sum of its digits.
10a + b = 5(a+b) + 1
10a + b = 5a + 5b + 1
10a - 5a = 5b - b + 1
5a = 4b + 1
replace b with (a+1)
5a = 4(a+1) + 1
5a = 4a + 4 + 1
5a - 4a = 4 
a = 5
therefore
b = 5 + 1
b = 6
The number is 56
 
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