Question

The difference between two numbers is 26 and one number is equal to 3 times of the other number. Find the numbers.​

Answer 1

Answer:

∴ value of x is 13

Step-by-step explanation:

let the smaller number be x

∴ the bigger number = 3x

as per condition

3x - x =26

∴ 2x = 26

∴ x = 26/2

∴ x = 13

Answer 2

❍ Let's say, that the second number be x and as per the given question, the first number be 3x respectively.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\underline{\bigstar\;\boldsymbol{According\;to\;the\;Question:}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• The difference between the two numbers is 26.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf{3x-x=26}\\\\\\:\implies\sf{2x=26}\\\\\\:\implies\sf{x=\cancel{\dfrac{26}{2}}}\\\\\\:\implies\underline{\boxed{\pink{\frak{x=13}}}}{\;\bigstar}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• First number = 3x = 3(13) = 39
• Second number = x = 13

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\therefore\;{\underline{\sf{Hence,\;the\;numbers\;are\;{\textsf{\textbf{39}}}\;\&\;{\textsf{\textbf{13}}}}.}}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

V E R I F I C A T I O N :

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• It is given that the difference between the two numbers is 26. So, let's verify.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\dashrightarrow\sf{\;39-13=26}\\\\\\\dashrightarrow\sf{\;26=26}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$\qquad\qquad\therefore\;{\underline{\textsf{\textbf{Hence,\;verified!}}}}$