Question

if HCF =8 and LCM =144,one number is 16 find the other number ​

Answer 1

Answer:

product of HCF and LCM =product of the numbers

Step-by-step explanation:

8×144 = 16 × x

x =72

Answer 2

Answer :–

• The other number is 72.

Given :–

• H.C.F. = 8
• L.C.M. = 144
• One number = 16

To Find :–

• The other number.

Solution :–

Let, the other number be x.

We know that,

L.C.M. × H.C.F. = Products of two numbers

According to the question,

→ 144 × 8 = 16 × x

→ $\frac{144 \times \cancel{8}}{\cancel{16}}$ = x

Cut the denominator (8) and numerator (16) by 8, we obtain

→ $\frac{\cancel{144}}{\cancel2}$

Now, cut the denominator and the numerator by 2, we obtain

→ 72

Hence,

The other number is 72.

Check :–

L.C.M. × H.C.F. = one number × other number

• L.C.M. = 144 [given]
• H.C.F. = 8 [given]
• One number = 16 [given]
• Other number = 72 [find above]

So,

→ 144 × 8 = 16 × 72

→ 1,152 = 1,152

Hence,

The LHS = RHS.

So, the other number is 72 is correct ✔️