Advertisements
Advertisements
Question
The sum of three consecutive odd numbers is 75. Which is the largest among them?
Advertisements
Solution
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
RELATED QUESTIONS
Write the given equation in statement form:
4p − 2 = 18
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| 5x = 25 | x = 5 |
Add 3x, 2y
Simplify:
(a2 + b2 + 2ab) − (a2 + b2 −2ab)
A bag contains 25-paisa and 50-paisa coins whose total value is Rs 30. If the number of 25-paisa coins is four times that of 50-paisa coins, find the number of each type of coins.
Solve: 4x + 9 = 17.
Raju’s father’s age is 5 years more than three times Raju’s age. Raju’s father is 44 years old. Set up an equation to find Raju’s age.
Answer the following:
Take Sarita’s present age to be y years
- What will be her age 5 years from now?
- What was her age 3 years back?
- Sarita’s grandfather is 6 times her age. What is the age of her grandfather?
- Grandmother is 2 years younger than grandfather. What is grandmother’s age?
- Sarita’s father’s age is 5 years more than 3 times Sarita’s age. What is her father’s age?
Given n students in the class like football, what may 2n show? What may show? (Hint: Think of games other than football).
Complete the table and by inspection of the table, find the solution to the equation 5t = 35.
|
t |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
______ |
|
5t |
______ |
______ |
______ |
______ |
______ |
______ |
______ |
______ |
______ |
______ |
