Find three consecutive odd integers whose sum is 225.
Answers
Answer:
(X) + (X + 1) + (X + 2) = 225
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 225
3X + 3 = 225
3X + 3 - 3 = 225 - 3
3X = 222
3X/3 = 222/3
X = 74
Which means that the first number is 74, the second number is 74 + 1 and the third number is 74 + 2. Therefore, three consecutive integers that add up to 225 are 74, 75, and 76.
74 + 75 + 76 = 225
We know our answer is correct because 74 + 75 + 76 equals 225 as displayed above.
Step-by-step explanation:
(X) + (X + 1) + (X + 2) = 225
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 225
3X + 3 = 225
3X + 3 - 3 = 225 - 3
3X = 222
3X/3 = 222/3
X = 74
Which means that the first number is 74, the second number is 74 + 1 and the third number is 74 + 2. Therefore, three consecutive integers that add up to 225 are 74, 75, and 76.
74 + 75 + 76 = 225
We know our answer is correct because 74 + 75 + 76 equals 225 as displayed above.