The sum of two numbers is 55 and the h.c.f. and l.c.m. of these numbers are 5 and 120 respectively, then, find the sum of the reciprocals of the numbers.
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Given: the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively,
Let numbers be x and 55-x
x(55-x) = 5*120
we get numbers as 15 and 40.
sum of reciprocals = 1/15+1/40 = 11/120
Let numbers be x and 55-x
x(55-x) = 5*120
we get numbers as 15 and 40.
sum of reciprocals = 1/15+1/40 = 11/120
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