SOLUTION: Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digit numbers. Find the two-digit number which is 2 time

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Question 1072278: Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digit numbers. Find the two-digit number which is 2 times the sum of its digits
The statement is ...
The number is 18( this is correct) the only thing i can't figure out is the statement.
Nothing is missing from this question. Thank you

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Use x for the tens digit and y for the unit digits in the two digit numbers. Find the two-digit number which is 2 times the sum of its digits
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10x%2By=2%28x%2By%29

10x%2By=2x%2B2y
8x=y
y=8x--------simple linear equation.

You know that you are looking only for DIGITS. Very few possibilities.
x=1?
y=8.
-
x=2?
y=16, which is NOT a digit.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digit numbers. Find the two-digit number which is 2 times the sum of its digits
The statement is ...
The number is 18( this is correct) the only thing i can't figure out is the statement.
Nothing is missing from this question. Thank you
Number: 10x + y
Equation derived: 10x + y = 2(x + y)
10x + y = 2x + 2y
10x - 2x = 2y - y
8x = y
x+=+y%2F8
Now, since the ONLY digit "y" can be is 8, it follows that: matrix%281%2C9%2C+x%2C+%22=%22%2C+y%2F8%2C+or%2C+x%2C+%22=%22%2C+8%2F8%2C+%22=%22%2C+1%29
Thus, with x being 1, y being 8, x being the tens digit and y being the units digit, it follows that the number is: 10x + y, or 10(1) + 8, or 10 + 8 = 18.
Ignore all other RIDICULOUS and/or NONSENSICAL answers!