The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following is the smaller number? 6 26 22 42
Let the 2 numbers be x and y. x + y = 48- >(1); 1/3x = 5 + 1/6y- >(2); Multiplying (2) by 6, we get: 2x = 30 + y; 2x - y = 30 - >(3); (1) + (3), we get: 3x = 78; x = 26. y = 48 - 26 = 22. The smaller number is 22.
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Asked 1/24/2015 2:54:40 PM
Updated 1/26/2015 8:57:39 AM
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Let the 2 numbers be x and y.

x + y = 48- >(1);
1/3x = 5 + 1/6y- >(2); Multiplying (2) by 6, we get: 2x = 30 + y; 2x - y = 30 - >(3);

(1) + (3), we get:

3x = 78; x = 26. y = 48 - 26 = 22.

The smaller number is 22.
Added 1/26/2015 8:57:39 AM
This answer has been confirmed as correct and helpful.
Confirmed by Andrew. [1/26/2015 9:02:11 AM]

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