Advertisements
Advertisements
प्रश्न
The sum of three consecutive odd numbers is 75. Which is the largest among them?
Advertisements
उत्तर
Given sum of three consecutive odd numbers is 75
Odd numbers are 1, 3, 5, 7, 9, 11, 13
∴ The difference between 2 consecutive odd numbers is always 2. or in other words, if one odd number is x, the next odd number would be x + 2 and the next number would be x + 2 + 2x + 4
i.e x + 4
Since sum of 3 consecutive odd numbers is 75
∴ x + x + 2 + x + 4 = 75
∴ 3x + 6 = 75
⇒ 3x = 75 – 6
∴ 3x = 69
x = `69/3` = 23
∴ The odd numbers are 23, 23 + 2, 23 + 4
i.e 23, 25, 27
∴ Largest number is 27.
APPEARS IN
संबंधित प्रश्न
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| 5x = 25 | x = -5 |
Write equation for the following statement:
Three-fourth of t is 15.
Write the given equation in statement form:
p + 4 = 15
Add 2xy, 5xy, −xy
Verify by substitution that the root of \[\frac{z}{7} = 8\]
Fill in the blank.
An expression having three-term is called a ______
Write the following statement in the form of the equation:
The sum of three times x and 11 is 32.
The distance (in km) travelled in h hours at a constant speed of 40 km per hour is ______.
The variable used in the equation 2p + 8 = 18 is ______.
Solve the following riddles, you may yourself construct such riddles.
| Who am I? |
 |
| I am a special number Take away from me a six! A whole cricket team You will still be able to fix! |
