# Math

posted by .

Find three consecutive integers such that the sum of the first and second is three mose than three times the third.

When I did the problem,I got a negative answer. Does that seem correct? Did I make any mistakes?

• Math -

Let a = the first number, b = the second number and c = the third number.

Then, b = (a + 1) and c = (a + 2)

Therefore, a + (a + 1) = 3(a + 2) + 3 yielding 2a + 1 = 3a + 6 + 3 making a = -8 and the three numbers -8, -7 and -6.

-8 + -7 = 3(-6) + 3
-15 = -18 + 3 = -15.

• Math -

How do you get -8 as a?

• Math -

Let a = the first number, b = the second number and c = the third number.

Then, b = (a + 1) and c = (a + 2)

Therefore, a + (a + 1) = 3(a + 2) + 3 yielding 2a + 1 = 3a + 6 + 3.
.........2a + 1 = 3a + 9
.........2a + 1 - 9 = 3a
.........2a - 8 = 3a
............-8 = 3a - 2a
............-8 = a

-8 + -7 = 3(-6) + 3
-15 = -18 + 3 = -15.

## Similar Questions

1. ### quad. eq.

find 3 consecutive integers such that the product of the second and third integer is 20 Take three integers x, y, and z. The for xyz, we want y*z = 20 The factors of 20 are 20*1 10*2 5*4. 20*1 are not consecutive. 10*2 are not consecutive. …
2. ### algebra

Five times the smallest of three consecutive odd integers is ten more than twice the longest. Find the integers. The sum of three integers is one hundred twenty three more than the first number. The second number is two more than the …
3. ### Algebra II

Find 4 consecutive odd integers such that 5 times the sum of the first two was 10 less than 7 times the sum of the second and fourth. What are the four integers?
4. ### math

Find three consecutive odd integers such that twice the sum of the first and second is one less than three times the third.
5. ### Math

Find three consecutive integers such that nine less than three times the third is seven more than the sum of the first and second.
6. ### math/algebra

Determine three consecutive odd integers such that three times the middle integer is seven more than the sum of the first and third integers.
7. ### Mathematics

Find three consecutive integers such that the sum of the first and three times the second is eighteen less than five times the third integers
8. ### Algebra 2

Find three consecutive odd positive integers such that 3 times the sum of all three is 152 less than the product of the first and second integers