Question
Two numbers are in the ratio 2:8. The product of their
H.C.F. and L.C.M. is 3600. The sum of the numbers is:Solution
Let the numbers be 2x and 8x respectively. First number × second number = HCF × LCM => 2x × 8x = 3600 => x2 = [3600/(2×8)] = 225 => x = √225 = 15 Sum of the numbers = 2x + 8x = 10x = 10 × 15 = 150
More HCF and LCM Questions
37, 49, 63, ?, 97, 117
28, 43, 73, 118, ?, 253
81, 83, 87, 95, 111, ?
97, 106, ?, 195, 411, 460
612, 487,?, 396, 388, 387
13 19 32 52 ? 113
What will come in place of the question mark (?) in the following number series?
180, 184, 168, 204, ?, 240
52   83   114   ?   176    207
143 Â Â Â Â 119Â Â Â Â 107Â Â Â Â 101Â Â Â Â Â 98Â Â Â Â ?
161Â Â Â Â 173Â Â Â Â Â Â 191 Â Â Â Â Â Â 215Â Â Â Â Â Â 245 Â Â Â Â Â Â ?
...
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