Advertisements
Advertisements
Question
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?
Advertisements
Solution
Let the number be x.
According to the given question,
`5/2 x + 2/3 = -7/12`
On transposing `2/3` to R.H.S, we obtain
`5/2 x = -7/12 - 2/3`
`5/2 x = (-7-(2xx4))/12`
`5/2 x = - 15/12`
On multiplying both sides by `2/5` we obtain
`x = -15/12 xx 2/5 = -1/2`
Hence, the rational number is `-1/2`
RELATED QUESTIONS
Three consecutive integers add up to 51. What are these integers?
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?
Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?
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 sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
After 18 years, Swarnim will be 4 times as old as he is now. His 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.
The sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
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.
