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Question

Mathematics Question on LCM and HCF

The LCM of two numbers is 280 and their ratio is 7: 8. The two numbers are

A

70,80

B

42,48

C

35,40

D

28,32

Answer

35,40

Explanation

Solution

Let the two numbers be 7x7x and 8x8x
Now, L.C.M.(7x,8x7x,8x)=7×8×x7\times8\times x
56x=280\rightarrow56x = 280
x=28056=5\rightarrow x=\frac{280}{56}=5
Therefore, The two numbers are : 35, 40
The correct answer is (C) : 35,40