SOLUTION: Find two consecutive odd integers such that 50 more than the lesser is five times the greater.

Question 1202926: Find two consecutive odd integers such that 50 more than the lesser is five times the greater.
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52874) (Show Source): You can put this solution on YOUR website!
.
Find two consecutive odd integers such that 50 more than the lesser
is five times the greater.
~~~~~~~~~~~~~~~~~~~~~~~~

Let the numbers be x and (x+2). Then we can write this equation x + 50 = 5*(x+2). Simplify and find x x + 50 = 5x + 10 50 - 10 = 5x - x 40 = 4x x = 40/4 = 10. It shows that the problem is posed INCORRECTLY. Such odd integers as described in your post DO NOT EXIST, and the problem describes a situation which never may happen.

Solved.

======================

It is a grave sin to spread wrong tasks in the Internet.

Answer by Edwin McCravy(20063) (Show Source): You can put this solution on YOUR website!

Change 'even' to 'odd' and you can do it. Find two consecutive EVEN integers such that 50 more than the lesser is five times the greater. G = L+2 L+50 = 5G L+50 = 5(L+2) L+50 = 5L+10 40 = 4L 10 = L G = L+2 G = 10+2 G = 12 10 and 12. Or switch "greater" and "lesser" and you can do it. Find two consecutive odd integers such that 50 more than the GREATER is five times the LESSER. G = L+2 G+50 = 5L L+2+50 = 5L L+52 = 5L 52 = 4L 13 = L G = L+2 G = 13+2 G = 15. 13 and 15. There is no solution as you have written it. Maybe your teacher was testing you to see if you'd know it has no solution. Sometimes the correct answer is "no solution". Edwin

RELATED QUESTIONS
Find two consecutive odd integers such that 86 more than the lesser is five times (answered by ewatrrr,MathTherapy)
find two consecutive odd integers such that 70 more than the lesser is five times the... (answered by josmiceli)
Find two consecutive odd integers such that twice the greater is 17 more than the... (answered by fractalier)
find two consecutive odd integers such that 59 more than the lesser is four times the... (answered by macston)
Find two consecutive odd integers such that 40 more than the lesser is three times the... (answered by Alan3354,ikleyn)
Find two consecutive odd integers such that 28 more than the lesser is three times the... (answered by jorel555)
Find two consecutive odd integers such that 40 more than the lesser is three times the... (answered by ikleyn)
find two consecutive odd integers such that 47 more than the lesser is four times the... (answered by Olasko)
find two consecutive odd integers such that 59 more than the lesser is four times the... (answered by CubeyThePenguin)