A first number is 8 less than a second number. Twice the first number is 11 more than the second number

Question

Find the numbers 

Answer 1

if we call the first number F and the second number S we can write the following equations from the information given:

F=S-8

2F=11+S

 

We can solve this system of equations by plugging in the first equation into the second:

2(S-8)=11+S

2S-16=11+S

2S=27+S

S=27

 

Then we plug this into the first equation

F=27-8

F=19

 

so the first number F is 19 and the second number S is 27