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  1. The sum of the H.C.F. and L.C.M of two numbers is 680 and the L.C.M. is 84 times the H.C.F. If one of the number is 56, the other is :
    1. 84
    2. 12
    3. 8
    4. 96
Correct Option: D

Let HCF be H and LCM be L.
According to question ,
Then, L = 84H and L + H = 680
⇒ 84H + H = 680

⇒ H =
680
= 8
85

∴ L = 680 – 8 = 672
∴ Other number =
672 × 8
= 96
56



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