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The sum of two numbers is 25 If two-thirds of the smaller number is two more than one-fourth of the larger number Find the number?
Wiki User
∙ 15y ago
If the smallest number is x, the the largest one is 25 - x. So we have:
(2/3)x = 2 + (1/4)(25 - x)
2x/3 = 2 + 25/4 - x/4 multiply both sides by 12, the common denominator;
8x = 24 + 75 - 3x add 3x to both sides;
11x = 99 divide by 11 to both sides;
x = 9
So the smallest number is 9, and the largest number is 16 (25 - 9)
Wiki User
∙ 15y ago
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