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I have this wicked hard homework and its getting me very very very angry. I already have the answer but i dont know how to get it without guessing and checking.. anyone wanna help? the problem is:
The tens digit of a 2-digit number is twice the units digit. The sum of the digits is 12. Find the original number.
PlEaSe HeLp!
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x+y=12
2x=y
x + (2x) = 12 simplify
3x=12 divide both sides by 3
x=4 Place the x into one of the other problems to find the y
4 + Y = 12 -- Minus four from each side
Y=8.
put 4 into the other problem to make sure it works.
2(4)=Y simplify
8=Y
84
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You have 2 problems, and 2 equations. You can solve it three ways. Graphing, Elimination, or Substitution. We learned this last semester in Algebra 1a, and we've reviewed a few months ago, and now we just reveiwed like last week for our exams.
You need to identify the variables. Y is the 1st digit, X is the second digit.
The two problems
x+y=12
2x=y
The easiest method is substitution because one of the variables is already solved for (y)
x + (2x) = 12 -- simplify
3x=12 -- divide both sides by 3
x=4, now you nead to plug x back into one of the other problems to find Y.
4 + Y = 12 -- subtract 4 from each side
Y=8.
Now just incase plug 4 into the other problem to make sure it works.
2(4)=Y --- simplify
8=Y
So the number is 84.
If you need ANYTHING in math I can so completely help you, I'm making a 96 or 97 out of 100 in that class, so just ask anything if you need it.
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I don't think there is a way to solve the problem with out guessing and checking.
8+4=12
84
I think most people would use guess and check.
Hope I helped!
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4+8=12
48
4 is the units digit and 8 is the tens digit 8 is twice the size of 4 when added together it equals 12.
hope i helped!
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What a conundrum.
To bad all the people on this site are retarded.
Be ready for the plethera of different answers you're going to get.
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2x+y=12
divide by 2 on each side
x+y=6
subtract x from each side
y=6-x
that is all i can come up with. i am unsure if this is good enough, but i hope it helps. if not, just guess and check and it doesn't matter if 1 is wrong.
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8 and 4, 84
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chop it into two numbers, X and Y. X is the tens, Y is the units.
X=2Y
X+Y=12
voila two equations, two unknowns
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