Question

3. The HCF and LCM of two numbers are 15 and 1995 respectively. If one number is 105,
determine the other number.
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Answer 1

Answer:

ANSWER

let the no. be x

l.c.m × h.c.f = product of two numbers

15 × 1995 = 105 × x

x = 15 × 1995/105

x = 285

∴ the other number is 285

Step-by-step explanation:

Answer 2

Given :-

• LCM = 1995

• HCF = 15

• One number = 105

To FinD :-

• The second number is ?

Solution :-

Let the second number is x

We know that →

LCM × HCF = product of numbers

$: \implies \: 1995 \times 15 = 105 \times x \\ \\ : \implies 29925 = 105 \times x \\ \\ : \implies \: x = \frac{29925}{105} \\ \\ : \implies \boxed{x = 285}$