Question

For two numbers aaa and 505050,
\text{LCM}(a,50) \times \text{HCF}(a,50) = 1000LCM(a,50)×HCF(a,50)=1000start text, L, C, M, end text, left parenthesis, a, comma, 50, right parenthesis, times, start text, H, C, F, end text, left parenthesis, a, comma, 50, right parenthesis, equals, 1000
Find the value of aaa.

Answer 1

Topic - LCM & HCF

Complete question: For two numbers a and 50, LCM (a, 50) × HCF (a, 50) = 1000. Find the value of a.

Given: LCM (a, 50) × HCF (a, 50) = 1000

Solution:

The given numbers are a and 50.

We know that,

Product of two numbers = LCM × HCF

Using this, we can write

a × 50 = 1000 (given)

or, a = 1000/50

or, a = 20

∴ the value of a is 20.

Note:

• To solve this type of problems, remember the relation - the product of the two numbers is equal to the product of the hcf and lcm of the two numbers.

Answer 2

Answer:

The value a is 20

Step-by-step explanation:

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