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Question 443793: a two digit number is such that when it is reversed the value of the number increases by three times the sum of its digits is less than the number by 8.find the number
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! a two digit number is such that when it is reversed the value of the number
increases by three times the sum of its digits is less than the number by 8.
find the number
:
Let x = the 10's digit
Let y = the units
then
10x+y = a two digit number
and
10y+x = the number reversed
:
"when it is reversed the value of the number increases by three times the sum of its digits"
10y + x = 10x + y + 3(x+y)
10y + x = 10x + y + 3x + 3y
10y + x = 13x + 4y
10y - 4y = 13x - x
6y = 12x
simplify, divide by 6
y = 2x
:
I do not understand what,"is less than the number by 8." is suppose to be.
but the single digit solution to y = 2x is limited to y=6, x=3 or y=4, x=2
the difference between reversed numbers is always a multiply of 9, therefore;
:
24 or 36 is the number
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