<PRE><B>Question 883701</B>
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&#39;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</PRE>