Advertisements
Advertisements
Question
The sum of four consecutive integers is 266. What are the integers?
Advertisements
Solution
Let the four consecutive integers be x, x + 1, x + 2 and x + 3.
According to the question,
x + x + 1 + x + 2 + x + 3 = 266 ...[Given]
⇒ 4x + 6 = 266
⇒ 4x = 266 – 6
⇒ 4x = 260
⇒ x = `260/4`
∴ x = 65
Hence, the four consecutive integers are 65, 65 + 1, 65 + 2 and 65 + 3, i.e. 65, 66, 67 and 68.
APPEARS IN
RELATED QUESTIONS
The sum of three consecutive multiples of 8 is 888. Find the multiples.
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?
The organizers of an essay competition decide that a winner in the competition gets a prize of Rs 100 and a participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3000. Find the number of winners, if the total number of participants is 63.
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?
After 18 years, Swarnim will be 4 times as old as he is now. His present age is ______.
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.
Kaustubh had 60 flowers. He offered some flowers in a temple and found that the ratio of the number of remaining flowers to that of flowers in the beginning is 3:5. Find the number of flowers offered by him in the temple.
A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, find the speed of the steamer in still water.
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.
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?
