SOLUTION: Two numbers are in the ratio 7:8 and their sum is 105. Find the number

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Two numbers are in the ratio 7:8 and their sum is 105. Find the number       Log On


   

Question 839225: Two numbers are in the ratio 7:8 and their sum is 105. Find the number
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2FB=7%2F8
1.8A=7B
2.A%2BB=105
8A%2B8B=840
Substituting from eq. 1,
7B%2B8B=840
15B=840
B=56
Then from eq. 2,
A=105-56
A=49