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
15.232 + 39.98% of 539.99 = ? × 6.99
√1600.13 x √4355.99 ÷ 329.98 + 1223.23 = ?
4999.99 ÷ 10.25 + 379.99 - 160.25 = ?
(1680.23 ÷ 27.98) + (600.32 ÷ 23.9) + 1384.11 = ?
157.78% of 4820 + 92.33% of 2840 = ? + 115.55% of 1980
440.11 ÷ 21.98 × 5.14 – 72.9 = √?
3245.69 + ? – 3112.48 = 2654.87 – 2412.92
587.89 - (342.99) 0.99 + 139.99% of (5.01) 0.99 = 2.99 ? + (2.99) 1.98
(34.03 + 101.98) ÷ 17.211 = 89.9 – 25.23% of ?
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