Tripling the greater of two consecutive even integers given the same result as subtracting 10fromm the lesser even integer. What

Question

Archy [21]

4 years ago

13

Tripling the greater of two consecutive even integers given the same result as subtracting 10fromm the lesser even integer. What

are the integers?

Mathematics

1 answer:

Dmitry [639] · Answer 1 · 2021-12-30T08:31:59+03:00

The integers are -8 and -6.

To find these, first assume that the first integer is x. Then, because it is an even integer, assume the next is x + 2. Now we can write an equation to solve.

Tripling the greater = subtracting 10 from the lesser

3(x + 2) = x - 10 ----> Distribute the 3

3x + 6 = x - 10 ----> Subtract x from both sides

2x + 6 = -10 ----> Subtract 6 from both sides

2x = -16 ----> Divide both sides by 2

x = -8

Which is the first integer. We then can determine that the second one, which is two higher than the first, would be -6.