Question

The sum of three consecutive numbers is 129. What is the difference between the largest and the smallest numbers?​

Answer 1

• Difference between largest and smallest numbers is 2.

Step-by-step explanation:

To find:-

• Difference between the largest and the smallest numbers.

Solution:-

Given,

Sum of three consecutive numbers is 129.

Let, Three consecutive numbers be x, x + 1 and x + 2.

According to question:

➝ x + x + 1 + x + 3 = 129

➝ x + x + x + 1 + 2 = 129

➝ 3x + 3 = 129

➝ 3x = 129 - 3

➝ 3x = 126

➝ x = 126/3

➝ x = 42

Verification :-

➝ x + x + 1 + x + 2 = 129

• Put x = 42

➝ 42 + 42 + 1 + 42 + 2 = 129

➝ 42 + 43 + 44 = 129

➝ 129 = 129

Hence, Verified!!

We have taken consecutive numbers be x, x + 1 and x + 2.

x = 42

x + 1 = 42 + 1 = 43

x + 2 = 42 + 2 = 44

So,

Consecutive numbers are 42, 43 and 44 respectively.

Difference between largest and smallest numbers :

= 44 - 42

= 2

Therefore,

Difference between largest and smallest numbers is 2.

Answer 2

Step-by-step explanation:

Տ0Ꮮղ:-

────

ɢɪᴠᴇɴ,

sum of consecutive number = 129

ʟᴇᴛ,

three consecutive number = x,x+1,x+2

ᗩ/Ｑ,

➝ x+x+1+x+2 = 129

=> 3x + 3 = 129

=>3x = 129-3

=> 3x = 126

=> x = 126/3

=>x = 42

ᴘᴜᴛɪɴɢ ᴠᴀʟᴜᴇ ᴏꜰ "x" ɪɴ

x,x+1,x+2

• x=42

• x + 1= 42+ 1 = 43

• x+ 2 = 42 + 2= 44

∴Difference between Largest to Smallest is

➝ 44 - 42

= 2