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viktelen [127]
3 years ago
7

Find 3 consecutive integers such that the sum of the first and twice the second is 16 more than twice the third

Mathematics
1 answer:
lions [1.4K]3 years ago
5 0

Answer: 18, 19, 20

Step-by-step explanation:

3 consecutive integers = x, y and z

1st number is X

2nd number is Y which is X +1

3rd number is Z which is X +2

Write equation

X + 2Y = 16 + 2Z

Replace Y with X + 1 and Z with X + 2

So,

X + 2(X + 1) = 16 + 2(X + 2)

Distribute

X + 2X + 2 = 16 + 2X + 4

Combine like terms

3X + 2 = 2X + 20

Solve for X

3X + 2 - 2 - 2X = 20 + 2X - 2X - 2

X = 18 so, Y is 19 and Z is 20

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