Question

The sum of two numbers is 80 the greater number is ecreeds twice the smaller number by 11. Find the numbers.

Answer 1

Let the greater number be x and the smaller be y

According to question -

x + y = 80

x - 2y = 11

[These are the simultaneous linear equations we get]

Evaluation -

   x + y = 80

   x - 2y = 11

-      +       -            [The signs will change because of - (minus sign) outside]

After solving we get...

3y = 69

=> y = 23

[With this we will find x...]

x + y = 80 (given)

=> x + 23 = 80

=> x = 80-23 = 57

Answer : x = 57 ; y = 23

              The greater number is 57 and the smaller number is 23.