Question

The sum of two numbers s 21. The larger number is 6 less than twice the smaller number. Find the two numbers

Answer 1

12 and 9 would be the answer

Answer 2

Let the larger number be 'x' and smaller number be 'y'.

Since, the sum of two numbers is 21.

So, $x+y=21$ (equation 1)

Since, the larger number is six less than twice the smaller number.

So, $x=2y-6$ (equation 2)

Substituting the value of 'y' from equation 2 in equation 1.

So, $x+y=21$

$2y-6+y=21$

$3y = 27$

So, y=9.

Since, x+y=21

x = 21-y

x = 21-9

x = 12.

So, the larger number is 12 and smaller number is 9.