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horsena [70]
3 years ago
13

FIRST TO ANSWER GETS BRAINLIEST

Mathematics
2 answers:
dem82 [27]3 years ago
6 0
8.52 hope this helps it it's not up there
mojhsa [17]3 years ago
5 0

Answer:

I GOT IT!!

Exact Form:

35

2

Decimal Form:

17.5

Mixed Number Form:

17

1

2


-Agarvated


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The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original nu
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Let X and Y be the digits.
If a two-digit number is written XY, then its value is 10x+y.
When the digits of the number are interchanged, it's YX, and its value is 10y+x.

The sum of the digits is 12.
The number formed by interchaning the digits is 54 more than the original number.

x+y=12 \\
10x+y+54=10y+x \\ \\
x+y=12 \\
10x-x+y-10y=-54 \\ \\
x+y=12 \\
9x-9y=-54 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 9 \\ \\
x+y=12 \\
\underline{x-y=-6} \\
x+x=12-6 \\
2x=6 \\
x=\frac{6}{2} \\
x=3 \\ \\
x+y=12 \\
3+y=12 \\
y=12-3 \\
y=9

The digits X and Y are 3 and 9, so the original number is 39.
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