SOLUTION: what number increased by 10 is equal to 19? what number diminished by 45 is equal to -15? Find three consecutive odd numbers whose sum is 57. find three consecutive even number

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: what number increased by 10 is equal to 19? what number diminished by 45 is equal to -15? Find three consecutive odd numbers whose sum is 57. find three consecutive even number      Log On


   

Question 782989: what number increased by 10 is equal to 19?
what number diminished by 45 is equal to -15?
Find three consecutive odd numbers whose sum is 57.
find three consecutive even numbers whose sum is 84.
find a number which is added to its double equals 12.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
1. x + 10 = 19
x = 9

2. x - 45 = -15
x = 30

3. consecutive odd numbers: (x-1), x, (x+1)

(x-1) + x + (x+1) = 57
3x = 57
x = 19

The integers are 17, 19, and 21.

4. consecutive even numbers: (x-2), x, (x+2)

(x-2) + x + (x+2) = 84
3x = 84
x = 28

The integers are 26, 28, and 30.

5. x + 2x = 12
3x = 12
x = 4