Question 390508
the sum of the digit of a two digit number is 11. when the digits are reversed, the new number is 24 less than four time the original number. what is the original number?
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let the ten's digit be x
units digit be y
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x+y =11........................1
10y+x=4(10x+y)-24
10y+x=40x+4y-24
6y-39x=-24.....................2
multiply (1) by -6
-6x-6y=-66
add it to(2)
-6x-39x-6y+6y=--66-24
-45x=-90
/-45
x=2
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x+y=11
plug x
2+y=11
y=9
So the number is 29
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m.ananth@hotmail.ca