The difference of two numbers is 15. The larger number is 1 more than 3 times the smaller number. Find the two numbers.
2 answers:
Let the smaller number be x. The larger number is 1 more than 3 times the smaller number; in numbers this is: 3x + 1. Their sum is 15, so subtracting x from 3x + 1 will be equal to 15. Your equation is: 15 = (3x + 1) - x Solve 15 = (3x + 1) - x algebraically for x, and then plug x into 3x + 1 to find the larger number. 15 = (3x + 1) - x 15 = 3x + 1 - x 15 = 2x + 1 14 = 2x 7 = x 3x + 1 3(7) + 1 21 + 1 22 Finally, check all work. 22 - 7 = 15 7(3) + 1 = 22Answer : The smaller number is 7 and the larger number is 22.
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