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20 vote

The sum of the H.C.F. and L.C.M of two numbers is 680 and the LC.M. is 84 times the H.C.F. If one of the number is 56, the other is :

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The sum of the H.C.F. and L.C.M of two numbers is 680 and the LC.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

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2 answers

40 vote
Answered by on | Votes 40 |
option 4 is the answer

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19 vote
Answered by on | Votes 19 |
Let HCF be h and LCM be l. Then, l = 84h and l + h= 680 84h + h = 680 h =$\frac{680}{85}$ =8 L = 680 – 8 = 672 Other number $\frac{672\times8}{56}$ = 56




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