what is the larger number

Question

the greater of 2 integers is 10 more than twice the smaller. The sum of the two integers is 25

Answer 1

n = greater

m = smaller

n = 2m + 10

n + m = 25

From the second equation, get

n = 25 - m,

plug this into the top equation and solve for m, then plug the result for m into either equation and solve for n.

25 - m = 2m + 10

15 = 3m

m = 5

n = 25 - m = 25 - 5 = 20

Test the answers.