The sum of two numbers is 11. twice the greater number minus the lesser number is 7 what is the greater number

x + y = 11

2x - y = 7

We have made two equations from the given statements. Assuming x is the greater number and y is the lesser number.

Now we can simultaneously solve these two and get our answer.

y = 11 - x.

2x - 11 + x = 7.

3x - 11 = 7

x = 6. So y = 5. Hence solved.