SOLUTION: Find a number which is smaller then 100 that increases by 1 by 5th of its value when its digits are reversed

Question 883701: Find a number which is smaller then 100 that increases by 1 by 5th of its value when its digits are reversed
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find a number which is smaller then 100 that increases by 1/5th of its value when its digits are reversed
:
let a = the 10's digit
let b = the units
:
To increase a value by 1/5, multiply it by 1.2
:
1.2(10a+b) = 10b + a
12a + 1.2b = 10b + a
12a - a = 10b - 1.2b
11a = 8.8b
divide by 11
a = .8b
Only one value for b gives a single digit integer
b = 5,then
a = .8(5)
a = 4
:
45 is the number
:
:
Check 54/45 = 1.2
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