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The sum of two numbers is 64 and one is 10 more than the other. Set up the linear equation and find the numbers.
A20 and 44
B27 and 37
C32 and 32
D30 and 40
Answer & Solution
Correct answer: B. 27 and 37
Let the smaller number be x. Then the larger is x + 10. Sum: x + (x + 10) = 64 → 2x + 10 = 64 → 2x = 54 → x = 27. The two numbers are 27 and 37 (check: 27 + 37 = 64, and 37 − 27 = 10 ✓).
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