Question

The LCM and HCF of two numbers are 75 and 5, respectively. If one number is 15, what is the other number?

Answer 1

Answer:

LCM *HCF= AB

Let a= 15

We need to find b

75*5=15*b

375=15*b

b=$\frac{375}{15}$

b =25

CHECK

75*5=15*25

375= 375

Answer 2

Answer:

Other number is 25.

Step-by-step explanation:

Given LCM of two number is 75

And HCF is 5

We know

HCMxLCM= First number Second number

$HCM \times LCM= First \: number \times Second \: number............(i)$

Now given one number is 15

Let another number be x

Now from equation (i)

$5 \times 75 = 15 \times x \\ x = \frac{5 \times 75}{15} = 5 \times 5 = 25$

Therefore another number is 25.