Question

The sum of two numbers is 21. Twice the first number less than the second number is 6. What are the two numbers?​

Answer 1

Given:-

• Sum of two number is 21

To Find:-

• What are the two numbers ?

Answer:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀According to the Question

We have to calculate the the two numbers .

Let the first numbebe x

And the second number be y .

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Sum of two number is 21

$:\implies$ x+y = 21

$:\implies$ x = 21-y ---------(i)

⠀⠀⠀⠀⠀⠀⠀⠀⠀According to the 2nd statement

Again , Twice the first number less than the second number is 6 .

$:\implies$ 2x -y = 6 ----------(ii)

Substitute the value of x = 21-y equation (ii) we get

$:\implies$ 2(21-y) -y = 6

$:\implies$ 42-2y -y = 6

$:\implies$ -3y = 6-42

$:\implies$ -3y = -36

$:\implies$ 3y = 36

$:\implies$ y = 36/3

$:\implies$ y = 12

Now, putting the value of y = 12 in equation (i) we get

$:\implies$ x = 21-12

$:\implies$ x = 9

• Hence, the first number is 9 & the second number is 12 .