Advertisements
Advertisements
Question
The sum of three consecutive multiples of 8 is 888. Find the multiples.
Solution
Let the three consecutive multiples of 8 be 8x, 8(x + 1), 8(x + 2).
Sum of these numbers = 8x + 8(x + 1) + 8(x + 2) = 888
8(x + x + 1 + x + 2) = 888
8(3x + 3) = 888
On dividing both sides by 8, we obtain
`(8(3x + 3))/8 = 888/8`
3x + 3 = 111
On transposing 3 to R.H.S, we obtain
3x = 111 − 3
3x = 108
On dividing both sides by 3, we obtain
`3x/3 = 108/3`
x = 36
First multiple = 8x = 8 × 36 = 288
Second multiple = 8(x + 1) = 8 × (36 + 1) = 8 × 37 = 296
Third multiple = 8(x + 2) = 8 × (36 + 2) = 8 × 38 = 304
Hence, the required numbers are 288, 296, and 304
APPEARS IN
RELATED QUESTIONS
The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?
A rational number is such that when you multiply it by `5/2`and add `2/3` to the product, you get `-7/12`. What is the number?
Sum of two numbers is 74. One of the numbers is 10 more than the other. What are the numbers?
The perimeter of a rectangle is 13 cm and its width is `2 3/4` cm. Find its length.
Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of Rs. 77, how many coins of each denomination does he have?
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is ______.
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
The sum of four consecutive integers is 266. What are the integers?
There are 40 passengers in a bus, some with Rs. 3 tickets and remaining with Rs. 10 tickets. The total collection from these passengers is Rs. 295. Find how many passengers have tickets worth Rs. 3?
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.
