Advertisements
Advertisements
Question
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
Advertisements
Solution
Let us assume three consecutive odd numbers of series to be x, x + 2 and x + 4
So, the sum of consecutive even numbers = x + x + 2 + x + 4 = 69
3x + 6 = 69
3x = 69 – 6
3x = 63
x = 21
Therefore, Three consecutive odd numbers = x, x + 2 and x + 4
x + 2 = 21 + 2
= 23
x + 4 = 21 + 4
= 25
Prime number = 23.
APPEARS IN
RELATED QUESTIONS
The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?
Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?
I have a total of Rs 300 in coins of denomination Re 1, Rs 2 and Rs 5. The number of Rs 2 coins is 3 times the number of Rs 5 coins. The total number of coins is 160. How many coins of each denomination are with me?
Three consecutive numbers whose sum is 12 are ______, ______ and ______.
Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years then her mother’s age before 5 years is (60 – y) years.
The number of boys and girls in a class are in the ratio 5 : 4. If the number of boys is 9 more than the number of girls, then number of boys is 9.
Kusum buys some chocolates at the rate of Rs. 10 per chocolate. She also buys an equal number of candies at the rate of Rs. 5 per candy. She makes a 20% profit on chocolates and 8% profit on candies. At the end of the day, all chocolates and candies are sold out and her profit is Rs. 240. Find the number of chocolates purchased.
A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charges are Rs. 200/hr. For how many hours did the carpenter work?
For what value of x is the perimeter of shape 186 cm?
On dividing Rs. 200 between A and B such that twice of A’s share is less than 3 times B’s share by 200, B’s share is?
