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Two number are in the ratio 4:3. The product of their H.C.F. and L.C.M. is 2028. The sum of the number is.1). 682). 723). 864). 91

Answer»

The ratio of two NUMBER is4:3. Such that numbers are 4x and 3x, where ‘X’ is the constant

Product of HC.F. and L.C.M. is 2028 .

H.C.F. ×L.C.M. = product of numbers

⇒ 2028 = 4x × 3x = 12x2

⇒ x2 = 2028/12 = 169

⇒ x = 13

Sum of the two numbers is 4x + 3x = 7x = 7(13) = 91


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