the sum of two consecuutive multiples of 10 is 210. find the smaller multiple.

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amitpandey1975 amitpandey1975

18-06-2017
Mathematics

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the sum of two consecuutive multiples of 10 is 210. find the smaller multiple.

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JonHenderson55 JonHenderson55 · Answer 1 · 2017-06-18T12:52:23+02:00

The answer is: " 100 " .
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Explanation:
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10x + 10(x + 1) = 210 ; Solve for "10x" ;

10x + 10x + 10 = 210 ;

    20x + 10 = 210 ;

Subtract "10" from each side of the equation;

    20x + 10 - 10 = 210 - 10 ;

to get: 20x = 200 ;

Divide EACH SIDE of the equation by "20" ;

      20x / 20 = 200 / 20 ;
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   to get: x = 10 ;

Now; solve for "10x" ;

10x = 10 * x = 10 * 10 = 100.
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The answer is: " 100 " .
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