Advertisements
Advertisements
प्रश्न
The sum of three consecutive multiples of 8 is 888. Find the multiples.
Advertisements
उत्तर
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
संबंधित प्रश्न
Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
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?
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years Reemu’s age will be 15p 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.
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.
The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.
The sum of three consecutive numbers is 156. Find the number which is a multiple of 13 out of these numbers.
A man was engaged as typist for the month of February in 2009. He was paid Rs. 500 per day but Rs. 100 per day were deducted for the days he remained absent. He received Rs. 9,100 as salary for the month. For how many days did he work?
For what value of x is the perimeter of shape 77 cm?
