How do you find three consecutive odd integers such that when five times the third minus the second is added to the first, the result is 23?

Question

1300 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-23T10:26:30

The three odd numbers are #color(purple)(1,3,5#

Let the three numbers be #a, b, c#

#c = b + 2, c = a+4, b = a + 2#

Given : #5c- b + c = 23#

Substituting values of a & b in terms of c,

#5c - (c - 2) + (c - 4) = 23#

#5c - cancel c + 2 + cancel c - 4 = 23#

#5c = 23 + 4 - 2 = 25#

#c = 25/5 = 5#

#b = c - 2 = 3, a = c - 4 = 1#