Question

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 1

The Correct Option is C

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