Question
The product of two positive integers is 1620. If their
HCF is 9 and their sum is 81, then find the difference between the numbers.Solution
Let the numbers be 9a and 9b
Then:
9a × 9b = 1620 ⇒ ab = 20 ...............(1)
9a + 9b = 81 ⇒ a + b = 9
Put a = (9 - b) in (1):
(9 - b) × b = 20
⇒ 9b - b² = 20
⇒ b² - 9b + 20 = 0
⇒ b² - 4b - 5b + 20 = 0
⇒ b(b - 4) - 5(b - 4) = 0
⇒ (b - 4)(b - 5) = 0
So, b = 4 or 5
Then, numbers are 36 and 45
Required difference = 9
The objectives of a trade union registered under the Trade Union Act, of 1926 must include the promotion and protection of the interests of its members...
Ratio of the work done by P, Q and R in one day is 7:5:9 respectively. They all together can complete the work in 35 days. Q and R worked on it for 21 d...
Which of the following statement is/are correct about “PM Rojgar Protsahan Yojana”?
I. Ministry of social justice and Empo...
“Yogavãsistha” was translated into Persian by Nizamuddin Panipati during the reign of:
Who is responsible for implementing the Pradhan Mantri Vaya Vandana Yojana (PNVVY)?
Which tool of financial statement analysis helps in comparing a company's financial performance with industry averages?
What is Sagittarius A*, recently it was in the news?
Which of the following has the maximum non-metallic characters in group 16 elements?
Under the Factories Act 1948, no adult worker can be required to work for more than _____ hours in a day.
The cost of electric power should be apportioned over different departments according to
Relevant for Exams:
