SOLUTION: one number is twice the another.the second number increased by 5 bears a ratio 2:3 to the first number increased by 3. find the numbers?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: one number is twice the another.the second number increased by 5 bears a ratio 2:3 to the first number increased by 3. find the numbers?      Log On


   

Question 630708: one number is twice the another.the second number increased by 5 bears a ratio 2:3 to the first number increased by 3. find the numbers?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
One number is twice the another.the second number increased by 5 bears a ratio
2:3 to the first number increased by 3. find the numbers?
:
x = 2nd number
2x = one number
:
%28x%2B5%29%2F%282x%2B3%29 = 2%2F3
cross multiply
2(2x+3) = 3(x+5)
4x + 6 = 3x + 15
4x - 3x = 15 - 6
x = 9 is the 2nd number and 18 is the 1st number
:
Check
%289%2B5%29%2F%2818%2B3%29 = 14%2F21 = 2%2F3