Answer:
Step-by-step explanation:
x = larger number, y = smaller number
x + y = 57
x = 2y - 3
2y - 3 + y = 57
3y - 3 = 57
3y = 57 + 3
3y = 60
y = 60/3
y = 20 <=== the smaller number
x = 2y - 3
x = 2(20) - 3
x = 40 - 3
x = 37 <=== the larger number
Answer:
smaller number = 20 , larger number = 37
Step-by-step explanation:
Let the smaller number be x and the larger number be.
Therefore : the sum of two numbers is 57 means
x + y = 57 ....................... equation 1
the larger number is three less than twice the smaller number means :
y + 3 = 2x ............................ equation 2
Solving the system of linear equation by substitution method , make x the subject of the formula in equation 1 , that is
[tex]x = 57 - y[/tex] ............................. equation 3
substitute equation 3 into equation 2 , equation 2 becomes
[tex]y + 3 = 2(57 - y )[/tex]
[tex]y + 3 = 114 - 2y[/tex]
collect the like terms
[tex]y + 2y = 114 - 3[/tex]
[tex]3y = 111[/tex]
[tex]y = 37[/tex]
substitute [tex]y = 37[/tex] into equation 3 to find the value of x
[tex]x = 57 - y[/tex]
[tex]x = 57 - 37[/tex]
[tex]x = 20[/tex]
