Question

HCF and LCM of two number are 12 and 360 , if one number is 36 what is the other number

Answer 1

Answer:

Second number = 120.

Step-by-step explanation:

Given;

HCF = 12.

LCM = 360

One number = 36.

Let the second number be X.

HCF × LCM = Product of two number.

12 × 360 = 36 × X .

X = 12 ×360/36

X = 120 .

Hope it helps you.

Answer 2

GIVEN:

• HCF of two number is 12.
• LCM of two number is 360.
• One number is 36.

TO FIND:

• What is the other number ?

SOLUTION:

Let the other number be 'x'

To find the other number, we use the formula:-

$\large\bf\red{ H.C.F. \times L.C.M. = a \times b}$

According to question:-

Put the values in the formula-

$\mapsto$ 12 $\times$ 360 = 36 $\times$ x

$\mapsto$ 4320 = 36 $\times$ x

$\mapsto$ 4320/36 = x

$\mapsto$$\sf{ <strong>1</strong><strong>2</strong><strong>0</strong><strong> </strong><strong>=</strong><strong> </strong><strong>x</strong><strong> </strong>}$

❛ Hence, the other number is 120. ❜

VERIFICATION:

 ➨  12 $\times$ 360 = 36 $\times$ 120

 ➨  4320 = 4320

[L.H S. = R.H.S.]

VERIFIED...

________________

✰ Extra Information ✰

Euclid's Division Lemma ⇛If a and b be two integers, such that a>b then there exist unique integers q and r such that a = bq + r, 0≤ r < b. It is known as Euclid's Division Lemma.

Fundamental Theorem of Arithmetic ⇛ Every composite number can be expressed(factorised) as a product of primes, and the factorisation is unique except for the order in which the prime factors are written.