Answered

IDNLearn.com is the perfect place to get detailed and accurate answers to your questions. Find accurate and detailed answers to your questions from our experienced and dedicated community members.

5. The HCF and LCM of two numbers are 5 and 46,905, respectively. If one of the numbers is 265, find the other.

Sagot :

GinnyAnsweridn
Let's find the other number given that the Highest Common Factor (HCF) is 5, the Least Common Multiple (LCM) is 46,905, and one of the numbers is 265.

To solve this, we'll use the relationship between the HCF, LCM, and the two numbers involved in the equation:

[tex]\[ \text{HCF} \times \text{LCM} = \text{number1} \times \text{number2} \][/tex]

Given:
- HCF = 5
- LCM = 46,905
- number1 = 265

We need to find number2. Rearrange the equation to solve for number2:

[tex]\[ \text{number2} = \frac{\text{HCF} \times \text{LCM}}{\text{number1}} \][/tex]

Substitute the known values into the equation:

[tex]\[ \text{number2} = \frac{5 \times 46,905}{265} \][/tex]

Calculate the numerator:

[tex]\[ 5 \times 46,905 = 234,525 \][/tex]

Then, divide by the denominator:

[tex]\[ \text{number2} = \frac{234,525}{265} \][/tex]

Carrying out the division:

[tex]\[ \text{number2} = 885 \][/tex]

So, the other number is 885.
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.