SOLUTION: ten times smallest of three consicutive integers is 22 more than 3 times the sum of integers.find the integers?

Question 1057194: ten times smallest of three consicutive integers is 22 more than 3 times the sum of integers.find the integers?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Let n be the smallest integer
Then n+1 and n+2 represent the next two consecutive integers.
10n = 22+3(n+(n+1)+(n+2)) "10 times the smallest is 22 more than 3 times the sum of integers"
10n = 22+3(3n+3)
10n = 22+9n+9
n = 31
�
Ans: The integers are 31, 32, and 33
�
Check:
10 * 31 = 310
22+3(31+32+33) = 310 (ok)

RELATED QUESTIONS
ten times the smallest of three consecutive integers is 22 more than three times the sum... (answered by josmiceli)

five times the smallest of three consecutive odd integers is ten more than twice the... (answered by Nate)

Five times the smallest of three consecutive odd integers is ten more than twice the... (answered by checkley77)

Five times the smallest of three consectutive odd integers is ten more than twice the... (answered by checkley77)

Ten times the smallest of three consecutive integers is twenty-two mire than three times... (answered by ankor@dixie-net.com)

the sum of three consecutive integers is 16 more than 2 times the smallest integer. find... (answered by mananth)

Four times the smallest of three consecutive even integers is ten more than three times... (answered by mananth)

Eight times the sum of three consecutive even integers is 108 more than 21 times the... (answered by ewatrrr)

Three times the smallest of three Consecutive even integers is 130 more than the sum of... (answered by josgarithmetic)