Find three consecutive odd integers such that the sum of the first, twice the second, and three times the third is 70?
I'm supposed to write the equation for this word problem. The answer has even numbers. I don't understand.
I'm supposed to write the equation for this word problem. The answer has even numbers. I don't understand.
1 Answer
See below.
Explanation:
Let's say that the first odd integer is
The sum of the first, twice the second, and three times the third can be written as
#x + 2(x+2) + 3(x+4)#
This equals
#x + 2(x+2) + 3(x+4) = 70#
#x+ 2x + 4 + 3x + 12 = 70# #-># distribute
#6x + 16 = 70# #-># gather like terms
#6x = 54# #-># subtract#16# from both sides
#x = 9# #-># divide both sides by#6#
Thus, the three consecutive odd integers are