Question

The sum of two numbers is 26. One of the numbers is 2 more than twice the other. Find
the numbers.

Pls answer with Correct Explanation to be marked as Brainliest

Answer 1

Given:

✰ Sum of two numbers is 26.

✰ One of the numbers is 2 more than twice the other.

To Find:

❍ Both the numbers.

Solution:

Let the number be x.

Now we know, one of the numbers is 2 more than twice the other it means 2 will be added to 2 times the first number.

First we will do 'twice the other' as mentioned in the question. Twice refers to two times the first number.

So, 2 × x = 2x

Now, 2 more than twice the number.

We know, twice the number = 2x

2 more than means, 2 is added to twice the number.

∴ 2 + 2x

Other number = 2 + 2x

Again,

First number = x

Other number = 2 + 2x

According to Question,

We have to do the sum of these two number then we know their sum is 26.

As,

➢ x + ( 2 + 2x ) = 26

➢ x + 2 + 2x = 26

➢ 3x + 2 = 26

➢ 3x = 26 - 2

➢ 3x = 24

➢ x = 24/3

➢ x = 8

Now, we will find both the numbers by substituting the value of x.

• First number = x = 8

• Other number = 2 + 2x = 2 + 2 ( 8 )

Other number = 2 + 16 = 18

Therefore,

First number = 8

Other number = 18

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Answer 2

Answer:

Given :-

• The sum of two numbers is 26. One of the number is 2 more than the twice of the other number.

To Find :-

• What are the numbers.

Solution :-

Let, the first number be x

And, the second number will be 2x + 2

According to the question,

⇒ x + 2x + 2 = 26

⇒ 3x = 26 - 2

⇒ 3x = 24

⇒ x = 24/3

➠ x = 8

Hence, the required numbers are,

✧ First number = x = 8

✧ Second number = 2x + 2 = 2(8) + 2 = 16 + 2 = 18

∴ The numbers are 8 and 18.

Let's Verify :-

↦ x + 2x + 2 = 26

Put x = 8 we get,

↦ 8 + 2(8) + 2 = 26

↦ 8 + 16 + 2 = 26

↦ 8 + 18 = 26

↦ 26 = 26

➦ LHS = RHS

Hence, Verified ✔