SOLUTION: The sum of two number is 22.the sum of 3/4 one of the number and 1/5 of the other number is 11.find the two numbers?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The sum of two number is 22.the sum of 3/4 one of the number and 1/5 of the other number is 11.find the two numbers?       Log On


   

Question 708836: The sum of two number is 22.the sum of 3/4 one of the number and 1/5 of the other number is 11.find the two numbers?
Found 2 solutions by josgarithmetic, opeodu:
Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
Numbers x and y.

The initial translation into symbols giving two equations:
x%2By=22
%283%2F4%29x%2B%281%2F5%29y=11

Multiply both members of the fraction equation by 4*5.
15x+4y=220

System to solve is this one:
15x%2B4y=220
x%2By=22

Subract four times the second from the first and solve for x value.
15x%2B4y-4x-4y=220-88
simplification of that
11x%2B0=132
x=132%2F11
highlight%28x=12%29.

Now, find y.

Answer by opeodu(24) About Me  (Show Source):
You can put this solution on YOUR website!
To solve any word problems. All you need do at first is to introduce a variable. In this case, two numbers are given so the variables are two in number. Let the first and second number be x & y respectively. x+y=22 3x/4+y/5=11 solving simultaneously (x+y)=22 15x+4y=220 4*--(x+y)=22 15x+4y=220 4x+4y=88 15x+4y=220 subtracting -11x=-132 x=12 substitute x into the first equation x+y=22 12+y=22 y=22-12=10