You can
put this solution on YOUR website!Let x=the tens digit
And y=the units digit
(Note: We know that this number is 10x+y. Like, for example, 45 could be written at 10*4+5. We also know that if the digits are reversed, the number formed would be 10y+x)
Now we are told that:
x+y=8--------------------------------eq1
And we are also told that:
10y+x=10x+y+36-------------------------eq2
In eq1, subtract y from both sides and we get
x+y-y=8-y or
x=8-y ---------------------------------------eq1a
Now substitute x=8-y into eq2
10y+8-y=10(8-y)+y+36 get rid of parens
10y+8-y=80-10y+y+36 collect like terms on each side
9y+8=116-9y subtract 8 from and add 9y to both sides
9y+9y+8-8=116-8-9y+9y collect like terms
18y=108 divide both sides by 18
y=6 -----------------------------------------the units digit
substitute y=2 into eq1a
x=8-6=2------------------------------------the 10's digit
original number is 26
CK
6+2=8
8=8
also
62=26+36
62=62
Hope this helps---ptaylor
