Question

the given ratio of two numbers is 3 ratio 2.if the lcm of them is 30.then calculate their sum​

Answer 1

Answer:

10,15

Step-by-step explanation:

My way of doing it is :

Since the ration is not exactly clear, we will make it as 2x and 3x

LCM of the ratio = 2x and 3x

                           = 6x

6x = 30

⇒ x = $\frac{30}{6}$

   x = 5

Hence,

2x = 2 * 5 = 10

3x = 3 * 5 = 15

⇒ 10,15 is the answer

Answer 2

The ratio of two numbers is 3 ratio 2 and the lcm of them is 30 then  the sum​ of the numbers is 25

Step-by-step explanation:

Given:

Ratio of the two numbers = 3: 2

LCM of two numbers = 30

To find: Sum of the two numbers

Formula used: Product of two number = LCM × HCF

Solution:

Let the numbers be 3x and 2x

Product of two number = LCM × HCF

Let HCF of two number be x,

The two number are 3x,2x

Product of two number = LCM × HCF

(3x )(2x) = 30 (x)

$6x^{2} = 30x$

⇒$x = \frac{30}{6}$

x = 5

The first number is 3x

3x = 3(5)

= 15

The first number is 15

The second number is 2x

2x = 2(5)

=10

The second number is 10

Therefore the two numbers are 15,10

The sum of two numbers = 15 + 10

= 25

Final answer:

The ratio of two numbers is 3 ratio 2 and the lcm of them is 30 then  the sum​ of the numbers is 25

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