Question
The HCF of two numbers is 72, and their LCM is 2160.
What is the sum of the numbers?Solution
Let the two numbers be 72x and 72y.
Then,
Product of the numbers = Product of HCF and LCM
72x × 72y = 72 × 2160
xy = 30
Let x = 5 and y = 6 (As co-prime factors of 30 are 5 and 6).
Then, the sum of the numbers is
72 × 5 + 72 × 6 = 72 × 11 = 792
There are 100 students in a particular class. 55% students play rugby, 30 % play basketball and 15% play both the games. What is the number of students ...
In a given years, A sold 1600 caps while B sold 30% more number of caps than A and C sold 20% less number of caps than B. Find the ratio between the num...
In a company, there are either male or female employees. There are x% male employees in the company. The number of female employees that are skilled are...
Monthly income of A is Rs. 85000 out of which he spent 25%, 18% and 24% of his total income in rent, medicine and transportation, respectively. Find his...
A man invested all his current month income in starting of a new business in which he spends 30% in advertisement 15% of remaining in furniture 20% of r...
On Wednesday, the price of tomatoes increased by x% as compared to Tuesday and the price of tomatoes decreased by x/2% on Tuesday as compared to Monday....
J's salary is 35% less than V's salary, then how much percent more or less is J's salary compared to G's salary, given that G's s...
- When 120 is added to a number, it becomes 250% of that number. Find 20% of the original number.
The marks obtained by A is 60% more than B, and the marks obtained by C is 180 more than the difference of A and B. If C obtained 330 marks, then find t...
The value of A’s car is depreciating by 35% every year whereas the value of his house is appreciating by 12% each year as compared to the previous yea...
Relevant for Exams:
