Advertisements
Advertisements
प्रश्न
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
पर्याय
112
126
119
116
Advertisements
उत्तर
112
Explanation:
Let the three consecutive multiples of 7 be 7x, (7x + 7), (7x + 14) where x is a natural number.
According to the question,
7x + (7x + 7) + (7x + 14) = 357
⇒ 21x + 21 = 357
⇒ 21(x + 1) = 357
⇒ `(21(x + 1))/21 = 357/21` ...[Dividing both sides by 21]
⇒ x + 1 = 17
⇒ x = 17 – 1 ...[Transposing 1 to RHS]
⇒ x = 16
Hence, the smallest multiple of 7 is 7 × 16, i.e. 112.
APPEARS IN
संबंधित प्रश्न
Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
Three consecutive integers add up to 51. What are these integers?
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?
Arpita’s present age is thrice of Shilpa. If Shilpa’s age three years ago was x. Then Arpita’s present age is ______.
If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93 – x.
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.
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?
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.
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?
