SOLUTION: four times the larger of tow number is equal to seen times the smaller. The sum of the numbers is 22. find the numbers. please give me the two equation, using the system of equati

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: four times the larger of tow number is equal to seen times the smaller. The sum of the numbers is 22. find the numbers. please give me the two equation, using the system of equati      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 364278: four times the larger of tow number is equal to seen times the smaller. The sum of the numbers is 22. find the numbers.
please give me the two equation, using the system of equation to solve each problem thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
four times the larger of two number is equal to seven times the smaller.
The sum of the numbers is 22. find the numbers.
:
Two number x & y, (y is the larger)
:
Write an equation for each statement:
"four times the larger of two number is equal to seven times the smaller."
4y = 7x
:
"The sum of the numbers is 22."
x + y = 22
x = (22-y)
:
find the numbers.
Substitute (22-y) for x in the 1st equation