Question

14. The sum of two numbers is 26. The larger number is 2 more than twice the smaller number. Find the numbers.​

Answer 1

`\large{\underline{\underline{\maltese{\green{\pmb{\sf{ \; Question \; :- }}}}}}}`

The sum of two numbers is 26. The larger number is 2 more than twice the smaller number. Find the numbers.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

`\large{\underline{\underline{\maltese{\red{\pmb{\sf{ \; Given \; :- }}}}}}}`

• ➢ Sum of two numbers = 26
• ➢ Larger number is 2 more than twice the smaller number.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

`\large{\underline{\underline{\maltese{\purple{\pmb{\sf{ \; To \: Do \; :- }}}}}}}`

• ➢ Find the numbers whose sum is 26.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

`\large{\underline{\underline{\maltese{\pink{\pmb{\sf{ \; Solution \; :- }}}}}}}`

Let the first number is x .

Then, another number is 2x + 2

According to Question,

➺ x + 2x + 2 = 26

➺ 3x + 2 = 26

➺ 3x = 26 - 2

➺ 3x = 24

➺ x = 24/3

➺ x = 8

___________________________________

∴ Therefore :

• The first number is 8
• The second number is (2x + 2) = (2 × 8 + 2) = (16 + 2) = 18

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬