Question

Sum of 2 numbers is 36. The larger is 3 more than twice the

smaller number, Find the smaller number below.

Answer 1

11

Explanation:

so we just make a system of equations:

x+y=36

say that x is the larger and y is the smaller

x-3=2y

so we can combine the equations and solve for x and y

re-arrange x-3=2y to be x=2y+3

x+y=36

x=2y+3

insert the value for x into x into x+y=36

2y+3+y=36

3y+3=36

y=11

now insert that back into x+y=36

11+x=36

x=25

Out of the two numbers x and y, 11 is the smaller number

Hope that helps :)