Final answer:
The smaller number is 44 and the larger number is 49, derived from setting up and solving an equation based on the given conditions in the problem.
Step-by-step explanation:
Step-by-Step Solution to Find Two Numbers
Let's denote the smaller number as s. According to the problem, the larger number is 5 more than the smaller, so we can write it as s + 5. Now, we're given that 4 times the smaller number (4s) subtracted by 3 times the larger number (3(s + 5)) equals 29. To find the two numbers, we'll set up an equation and solve for s:
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- 4s - 3(s + 5) = 29
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- 4s - 3s - 15 = 29
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- s - 15 = 29
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- s = 29 + 15
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- s = 44
Now that we have the smaller number, s = 44, we can find the larger number:
s + 5 = 44 + 5 = 49.
The two numbers are 44 and 49.