Question

The H.C.F. of two numbers is 23 and their L.C.M. is 276. If one of the numbers is 92, what is the other number? 

(1) 69 

(2) 46 

(3) 92 

(4) none of these

Answer 1

Correct option is (1) 69 

Given,

HCF = 23

LCM = 276

One number = 92

Let, the other number = x

As we know that,

HCF x LCM = Product of the two numbers

\(23 \times 276 = 92 \times x\)

\(\frac {23 \times 276}{92} = x\)

\(\therefore x = \frac {23 \times 276}{92} = 69\)

\(\therefore \) The other number = 69.