Answer:
The smaller number is 15
Step-by-step explanation:
Step one:
Given data
The sum of two numbers is 39.
let the smaller number be x
and the bigger number be y
so
x+y=39---------1
The sum of twice the larger number and three times the smaller number is 93
3x+2y=93--------2
Step two:
We have the following systems of equations
x+y=39---------1
3x+2y=93--------2
from eqn q
x= 39-y
Step three:
put the value of x in eqn 2
3(39-y)+2y=93
117-3y+2y=93
collect like terms
117-93= 3y-2y
24= y
y=24
put y= 24 in eqn 1
x+24= 39
x= 39-24
x=15
