Answer:
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.
