SOLUTION: One number is 1 less than 4 times another number. Twice the greater number minus three times the lesser number is 48. What is the greater number ?

Question 980360: One number is 1 less than 4 times another number. Twice the greater number minus three times the lesser number is 48. What is the greater number ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let a = the greater number
let b = another number
:
write an equation for each statement
:
One number is 1 less than 4 times another number.
a = 4b - 1
Twice the greater number minus three times the lesser number is 48.
2a - 3b = 48
Replace a with (4b-1)
2(4b-1) - 3b = 48
8b - 2 - 3b = 48
8b - 3b = 48 + 2
5b = 50
b = 50/5
b = 10
:
What is the greater number ?
I'll let you find a, the greater number, check your solutions in the 2nd statement.
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