If 45 is subtracted from twice the greater of two numbers it results in the other number . If 21 is subtracted from twice the smaller number, it results in the greater number. Find the no

# The Sum Of Two Numbers Is 11 And Twice One Number Added To Five Times The Other Is 49.what Are The Numbers?

The numbers are 9 and 2. 9 times 5 is 45 and 2 times 2 is 4. The total is 49. The problem is easy to translate and solve via trial and error; however, of greater interest is the algebraic strategy used to solve the problem.

2(11-s) + 5s= 49

22+3s=49

3s=27

s=9

s=2

2(11-s) + 5s= 49

22+3s=49

3s=27

s=9

s=2

The sum of twice a number plus three times another number?