The sum of two numbers is 25 one number is twice the second number plus seven What are the two numbers

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 :)

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get