Question
data-sheets-value="{"1":2,"2":"The sum of two numbers is 96 and their HCF is 24. Total number of such pairs of numbers is "}" data-sheets-userformat="{"2":4993,"3":{"1":0},"10":2,"11":4,"12":0,"15":"arial,sans,sans-serif"}">The sum of two numbers is 96 and their HCF is 24. Total number of such pairs of numbers is?
Solution
As HCF is 24 so let numbers be 24x & 24y. It means x & y must be co-prime. Now 24x+ 24y = 96, So x + y = 4. Now pairs of (x , y) can be (1,3) & (2,2) but (2,2) is not co-prime hence number of pairs are 1.
More HCF and LCM Questions
8 12 30 105 ? 2598.75
...What will come in place of the question mark (?) in the following series?
132, 101, 130, ?, 126, 109
- What will come in place of (?) in the given number series.
1, 8, 27, ?, 125, 216 [(145)² ÷ 25 × 52] ÷ ? = 29 × 13
135, 148, ?, 184, 207, 236
7, 7, 14, 40, ?, 227
1     1      4       ?      280       3640
...7.5% of 820.68 - 95% of 945.06 + 12.8% of 1050= ?
250 Â Â Â 25 Â Â Â Â 5 Â Â Â Â ? Â Â Â Â 0.6 Â Â Â Â Â 0.3
38% of 18/225 of 31/19 of 15225 =?
Relevant for Exams:
