Question

the sum of two numbers is 26. one of the number is 2 more than twice the other.find the number​

Answer 1

Answer:

8.

Step-by-step explanation:

In question, it is given that one of the numbers is 2 more than twice the other. The equation becomes, x=2+2(26−x). Therefore, the first number is 18. Therefore, the other number is 8. pls mark me as brainlist

Answer 2

Answer:

• Required numbers = 8 and 18.

Explanation:

Given information,

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

• Sum of two numbers = 26
• One of the two numbers = 2(Other number) + 2

Let,

• One number = y
• As it is stated in question that one of the number is 2 more than twice the other number. So, other number = (2y + 2)

According to the Question,

• Sum of two numbers = 26

Therefore,

➻ y + (2y + 2) = 26

➻ y + 2y + 2 = 26

➻ 3y + 2 = 26

➻ 3y = 26 - 2

➻ 3y = 24

➻ y = 24/3

➻ y = 8

• Henceforth, one of the required two numbers is 8.

Now,

➻ Other number = 2y + 2

Putting value of ‘y’ in above eqⁿ,

➻ Other number = 2(8) + 2

➻ Other number = (2 × 8) + 2

➻ Other number = (16) + 2

➻ Other number = 16 + 2

➻ Other number = 18

• Henceforth, other number is 18.

Conclusion,

• 8 and 18 are the required numbers.

Verification,

• Sum of two numbers = 26

Therefore,

➻ y + (2y + 2) = 26

➻ y + 2y + 2 = 26

Putting value of ‘y’ in above eqⁿ,

➻ 8 + 2(8) + 2 = 26

➻ 8 + (2 × 8) + 2 = 26

➻ 8 + (16) + 2 = 26

➻ 8 + 16 + 2 = 26

➻ 16 + 8 + 2 = 26

➻ 16 + 10 = 26

➻ 26 = 26

➻ LHS = RHS

Hence, Verified ✔

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