Advertisements
Advertisements
Question
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
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
Three consecutive integers add up to 51. What are these integers?
The sum of three consecutive multiples of 8 is 888. Find the multiples.
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?
Deveshi has a total of ₹ 590 as currency notes in the denominations of ₹ 50, ₹ 20, and ₹ 10. The ratio of the number of ₹ 50 notes and ₹ 20 notes is 3: 5. If she has a total of 25 notes, how many notes of each denomination she has?
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
Anima left one-half of her property to her daughter, one-third to her son and donated the rest to an educational institute. If the donation was worth Rs. 1,00,000, how much money did Anima have?
Hamid has three boxes of different fruits. Box A weighs `2 1/2` kg more than Box B and Box C weighs `10 1/4` kg more than Box B. The total weight of the three boxes is `48 3/4` kg. How many kilograms (kg) does Box A weigh?
A lady went to a bank with Rs. 1,00,000. She asked the cashier to give her Rs. 500 and Rs. 1,000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes.
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.
Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, find the speed of each.
