Question

57/Let the LCM and HCF of two numbers are 276 and 3 respectively. If the one-third of one number is 23, then the other number is :
(A) 10 (B) 23 (C) 12 (D) 92

(Imdad Uddin Mazumder)

Answer 1

Answer:

C

Step-by-step explanation:

One third of a number is 23 , so number will be

23 × 3 = 69 .

Now we know

$hcf \times lcm = product$

So let other number x

$69x = 273 \times 3 \\ \\ x = \frac{273 \times 3}{69 } = 12$

Answer 2

Given :

• LCM of two numbers = 276
• HCF of two numbers = 3
• One-third of one number is = 23

To find : The other number.

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

First of all, we have to find out the first number.

Let, the first number = x

So, according to the data mentioned in the question,

x × ⅓ = 23

x = 23 × 3

x = 69

So, first number = 69

Let, the second number = y

Now, we have to use the mathematical relationship between product of two numbers, LCM and HCF of those two numbers. The mathematical relationship will be :

The product of two numbers = HCF of two numbers × LCM of two numbers

Or,

69 × y = 276 × 3

y = (276×3)/69

y = 4×3

y = 12

Hence, the other number will be 12 (Option C)