SOLUTION: One number is bigger than another by 406. If the bigger number is divided by the smaller one, you’ll get the quotient 3 and remainder 66. Find the numbers.
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Question 1134420: One number is bigger than another by 406. If the bigger number is divided by the smaller one, you’ll get the quotient 3 and remainder 66. Find the numbers. Answer by ikleyn(52776) (Show Source):
The condition means
x + 406 = 3x + 66.
Solve for x, which stands for the smaller number
406 - 66 = 3x - 2x
340 = 2x ====================> x = 340/2 = 170.
ANSWER. The smaller number is 170; the larger one is 170 + 406 = 576.