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.

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step-by-step explanation: