The difference between two numbers is 13. twice the smaller plus three times the larger is 129

18 and 31

Step-by-step explanation:

Let the number be x and y and y be the smaller number

Given

condition 1:

difference between two numbers is 13.

Mathematical expression for this will be

x-y = 13 ( taking x as larger and y as smaller number)

=> x = 13+y   (1)

Condition 2:

twice the smaller plus three times the larger is 129

Twice the smaller is equal as 2y

three times the larger is 3x

according to question

3x+2y = 129

substituting value of x from equation 1 we have

3(13+y) +2y = 129

=> 39+3y+2y = 129

=> 39+5y = 129

=> 5y = 129 - 39 = 90

=> y = 90/5

=> y = 18

Thus, y = 18

and x = 13+y = 13+18 = 31

Therefore, two numbers are 18 and 31.

can i see the following ?

step-by-step explanation:

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5