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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 :
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- 84
- 12
- 8
- 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 = | = 8 | 85 |
∴ L = 680 – 8 = 672
∴ Other number = | = 96 | 56 |