Answer:
The two numbers are 6 and 19
Step-by-step explanation:
Assume that the two numbers are x and y
We are given that:
The sum of the two numbers is 25
This means that:
x + y = 25 ..........................> equation 1
We are also given that:
One number is twice the other plus 7
This means that:
x = 2y + 7 ..........................> equation 2
Substitute with equation 2 in equation 1 and solve for y:
2y + 7 + y = 25
3y + 7 = 25
3y = 18
y = 6
Now, substitute with the value of y in equation 2 to get x as follows:
x = 2y + 7
x = 2(6) + 7
x = 12 + 7
x = 19
Based on the above, we can conclude that the two numbers are:
6 and 19
Hope this helps :)
