Lesson 9.5 applications: number problems

What number should be added to 87 to get a sum of −67?

x + 87 = -67 x= -154

The sum of three consecutive odd integers is -477. Find the three integers.

-161, -159, -157

The sum of two consecutive odd integers is −52 . Find the two integers.

-27, -25

The sum of two consecutive even integers is −158. Find the two integers.

-80, -78

The sum of three consecutive odd integers is 357. Find the three integers.

117, 119, 121

The sum of three consecutive even integers is 402. Find the three integers.

132, 134, 136

If 8.7 plus 9.9 times a number equals the sum of the number and 27.9, what is the number? Express your answer as a simplified fraction or a decimal rounded to two places.

2.16

The sum of two consecutive integers is 107. Find the two integers.

53, 54

The sum of three consecutive integers is 252 . Find the three integers.

83, 84, 85

−17 times a number minus 29 is equal to −32 less than the number.

−17x−29=x−(−32) x= -3.39

−37 times the difference between a number and 69 is equal to the number plus −99.

−37(y−69)=y+(−99) y=69.79

−47 times the difference between a number and 37 is equal to the number plus 32.

−47(x−37)=x+32 x=35.56