The difference of x and a number is 6. What is the other number?
1 answer:
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Answer:
37, 38, and 39
Step-by-step explanation:
Write the equation by converting words into math symbols:
- consecutive means n, n+1, and n+2
- subtract -
- product *
- result is =
This means "the product of the smaller two" is n(n+1).
This also means "the product of the greater two" is (n+1)(n+2)
They are subtracted from each other and equal to 76. So it becomes
(n+1)(n+2) - n(n+1) = 76
Write and solve:
The smallest number is 37. The next is 38. The last is 39.