The value of the two numbers are 3 and 7 and this can be determine by forming the linear equations in two variables with the help of the given data.
Given :
- One number added to three times another number is 24.
- Five times the first number added to three times the other number is 36.
Let the first number be 'a' and the second number be 'b'. Then the linear equations are:
[tex]a+3b=24[/tex] ---- (1)
[tex]5a+3b=36[/tex] ---- (2)
From equation (1) find the value of 'a' in terms of 'b'.
a = 24 - 3b ----- (3)
Now, put the value of 'a' in equation (2).
5(24 - 3b) + 3b = 36
120 - 15b +3b = 36
120 - 12b = 36
12b = 84
b = 7
Now, put the value of 'b' in equation (3).
[tex]a = 24-(3\times 7)[/tex]
a = 3
Therefore, the two numbers are 3 and 7.
For more information, refer the link given below:
https://brainly.com/question/13911928
