Question

The sum of two numbers is 6. The second number is three more than twice the

first number. What are the two numbers?

Answer 1

1.5 and 2

Explanation:

Answer 2

Hey ! there

Answer:

• First number = 1

• Second number = 5

Explanation:

In the question we are given that sum of two numbers is 6 , second number is three more than twice the first number .And We are asked to find the two numbers .

We are solving this question by assuming ,

• First number as x

• Second number as 2x + 3 ( Because in the question it is given that the second number is three more than twice the first number )

Solution : -

As question says that sum of two numbers is 6 that is :

• First number + Second number = 6

Now , substituting value of first and second number which we have assumed above ,

`\longmapsto \qquad \: x +2x + 3 = 6`

Step 1 : Adding like terms on left side :

`\longmapsto \qquad \:3x + 3 = 6`

Step 2 : Subtracting with 3 on both sides :

`\longmapsto \qquad \:3x + \cancel{3 }- \cancel{3 }= 6 - 3`

On further calculating, We have :

`\longmapsto \qquad \:3x = 3`

Step 3 : Dividing with 3 on both sides :

`\longmapsto \qquad \: \frac{ \cancel{3}x}{ \cancel{3} }= \cancel{ (3)/(3) }`

On calculating further, We get :

`\longmapsto \qquad \: \blue{\underline{\boxed{ \pink{\sf{x = 1}}}}}`

We know that ,

• x is our first number

Therefore , first number is ❝ 1 ❞ .

And ,

• 2x + 3 is our second number . So ,

• 2 ( 1 ) + 3

• 2 + 3

• 5

Therefore , second number is ❝ 5 ❞ .

Verifying : -

Now we are verifying our answer by adding both the numbers and equating it with 6 as it's given in question that sum of both the numbers is equal to 6 .

• First Number + Second Number = 6

• 1 + 5 = 6

• 6 = 6

• L.H.S = R.H.S

• Hence, Verified .

Therefore, our answer is correct .

#Keep Learning