Bissoy.com
Doctors Medicines MCQs Q&A

The HCF of two numbers , each having three digits, is 17 and their LCM is 714. The sum of the numbers will be ?

The HCF of two numbers , each having three digits, is 17 and their LCM is 714. The sum of the numbers will be ? Correct Answer 221

HCF = 17
Let numbers are = 17x, 17y
LCM = 17xy = 714 (given)
xy = 42
Possible pairs are (1, 42), (2, 21), (3, 14), (6, 7)
Possible numbers are (17, 714), (34, 357), (51, 238), (102, 119)
but given that both numbers are of three digits
∴ numbers are = (102, 119)
∴ sum of numbers = 102 + 119 = 221

Related Questions

Which one of the following four addresses is NOT EXACTLY the same as the one given below? Mansi Agarwal 714/23, Malviya nagar Kanpur, Uttar Pradesh i. Mansi Agarwal 714/23, Malviya nagar Kanpur, Uttar Pradesh ii. Mansi Agarwal 714/23, Malviya magar Kanpur, Uttar Pradesh iii. Mansi Agarwal 714/23, Malviya nagar Kanpur, Uttar Pradesh iv. Mansi Agarwal 714/23, Malviya nagar Kanpur, Uttar Pradesh
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. Quantity A: The LCM of two numbers is 40 times their HCF. The sum of the LCM and HCF is 1,476. If one of the numbers is 288, find the sum of digits of other number? Quantity B: A vendor has 748 oranges, 408 apples and 952 mangoes. If he packs the fruits into crates with an equal number of fruit without mixing them, what is the sum of digits of minimum number of crates required?
The LCM of two numbers is 28 times their HCF and the sum of their LCM and HCF is 493. The difference of the two numbers is 51. If s is the sum of the two numbers, then what is the sum of digits of s?
Consider the following in respect of natural numbers a, b and c: 1. LCM(ab, ac) = a × LCM(b, c) 2. HCF(ab, ac) = a × HCF(b, c) 3. HCF (a, b) < LCM(a, b) 4. HCF(a, b) divides LCM(a, b) Where, a ≠ b ≠ c  Which of the above are correct?
The following question has three statements. Study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. What is the sum of two numbers? I. HCF of two numbers is 17 II. Both the numbers are of 3 digits III. LCM of two numbers is 714
The HCF of two numbers, each having three digits, is 17 and their LCM is 714. The sum of the numbers will be:
There are two numbers A and B (A > B) of two-digits each and their HCF is 18. If LCM and HCF of B and 45 are 270 and 9 respectively and the difference between digits of A is 5, then what is the LCM of A and B?
The LCM of two numbers is 70 times their HCF. The sum of LCM and HCF is 1917. If one of the numbers is 210, then what is the sum of two numbers?
In a 4-digit number, the sum of the first two digits is equal to that of last two digits. The sum of the first and last digits is equal to third digit. Finally, the sum of the second and fourth digits is twice the sum of the other two digits. What is the third digit of the number?
LCM of two numbers is 56 times their HCF, with the sum of their HCF and LCM being 1710. If one of the two numbers is 240, then what is the other number?