Question

if H.C.F and L.C.M of two numbers 16 and 28 respectively and one number is 14 the find the other number​

Answer 1

AnswEr :

• The other number = 32.

Explanation :

We are given with the H.C.F and L.C.M of two numbers and one number, that is,

• H.C.F = 16.

• L.C.M = 28.

• One number = 14.

We have to find out the other number.

Now,

Let us assume that, the other number be x.

As we are given with the H.C.F and L.C.M of two numbers and one number we know the required formula, that is,

→ (One number × the other number) = (HCF × LCM)$.$

Substituting the given values in the formula,

→ 14 × x = 16 × 28

→ 14x = 16 × 28

→ 14x = 448

→ x = 448/14

→ x = 32

Hence, the other number is 32.

Answer 2

Answer:

Given :-

• H.C.F and L.C.M of two numbers are 16 and 28 respectively .
• One number is 14 .

To Find :-

• What is the other number .

Solution :-

Let, the other number be x

H.C.F is 16 and L.C.M is 28 and the number is 14.

We know that,

✪One Number × Other Number = H.C.F × L.C.M✪

According to the question,

⇒ 14 × x = 16 × 28

⇒ 14x = 448

⇒ x = $\sf\dfrac{\cancel{448}}{\cancel{14}}$

➠ x = 32

$\therefore$ The other number is $\boxed{\bold{\large{32}}}$ .