Answer:
14 and 25
Explanation:
Let the numbers be x and y
One number is 3 less than twice the other so:
x = 2y-3
Their sum is 39 so
x+y = 39
We have two equations:
x = 2y-3 equation1
x+y=39 equation2
We can use the value of 2y-3 from equation1 and
substitute that in place of x in equation 2:
(2y-3)+y = 39 clear the parenthesis
2y-3+y=39 combine the y terms
3y-3=39 add 3 to both sides
3y-3+3 = 39+3
3y = 42 divide both sides by 3
3y/3 = 42/3
y = 14
Since x + y = 39 and y = 14:
x+14=39
x + 14-14=39-14
x = 25
Check:
2x-3=25 x+y=39
2(14)-3=25 14+25=39
25 = 25 39 = 39
