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42 votes
42 votes
the sum of the digits in a three digit mumber is 9. the tens digit is half the sum of the other two amd the hundreds digit is half the unit digit. fond the number.​

User ADM
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1 Answer

22 votes
22 votes

The number is 234.

Explanation:

Let the 3 digits be H , T and U so the number is HTU.

H + T + U = 9

T = 0.5H + 0.5U

U = 2H

So from the last 2 equations

T = 0.5H + 0.5(2H)

T = 0.5H + H

T = 1.5H

So substituting for T and H is the first equation:

H + 1.5H + 2H = 9

4.5H = 9

H = 2.

So T = 1.5*H = 1.5 *2 = 3.

User Daniel Cardenas
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