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For a given two-digit positive integer, the tens digit is 5

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For a given two-digit positive integer, the tens digit is 5 [#permalink] New post 24 May 2019, 01:25
Expert's post
For a given two-digit positive integer, the tens digit is 5 more than the units digit. The sum of the digits is 11. Find the integer.

[Reveal] Spoiler: OA
83


Math Review
Question: 9
Page: 244
Difficulty: medium

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Re: For a given two-digit positive integer, the tens digit is 5 [#permalink] New post 24 May 2019, 13:43
Expert's post
Carcass wrote:
For a given two-digit positive integer, the tens digit is 5 more than the units digit. The sum of the digits is 11. Find the integer.

[Reveal] Spoiler: OA
83


Math Review
Question: 9
Page: 244
Difficulty: medium


Let x = the UNITS digit
So, x+5 = the TENS digit [since we're told the tens digit is 5 more than the units digit]

The sum of the digits is 11.
We can write: x + (x + 5) = 11
Simplify: 2x + 5 = 11
So: 2x = 6
Solve: x = 3
So, the UNITS digit is 3, which means the TENS digit is 8

Find the integer.
The number is 83

Cheers,
Brent
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Re: For a given two-digit positive integer, the tens digit is 5   [#permalink] 24 May 2019, 13:43
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For a given two-digit positive integer, the tens digit is 5

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