Question

61. If the H.C.F and L.C.M of two
consecutive even numbers be 2 and
84, then the sum of the
numbers is:
किन्हीं दो लगातार समसंख्याओं का म.स. व ल.
स. क्रमशः 2 व 84 है। तो उनका योग ज्ञात
करें-
(a) 36
(c) 26
(b) 50
(d) 40​

Answer 1

Answer:

option (c)

their hcf is 2 it means they have only 2 in acommon it means one no. is 2m other is 2n say

now lcm is 84=2mn hence mn =42=7×3×2assign these 3 numbers as such two no. are even consecutive like one no. is 7×2 and other 3×2×2

hence sum 26