Question

Two numbers x and y are such that x: y = 2:3
and their highest common factor is 900. Then
xy =​

Answer 1

Answer:

Step-by-step explanation:

X/y=2:3.

H.C.F=900.

2*x=2*900=1800.

3*y=3*900=2700.

L.C.M of 1800,2700 is 5400 (since 18,27=3*3*3*2=54).

Answer = 5400

Answer 2

Answer:

The LCM OF the numbers x and y is 5400.

Step-by-step explanation:

HCF is Highest common Factor and LCM is Lowest Common Factor.

Given that:

Ratio of the two numbers of x and y is 2:3

The HCF of the number = 900

To find:

The value of xy=?

Formula to find the product of the two numbers:

The Product of the given two numbers = HCF * LCM

Solution:

Let us consider the two numbers as 2a and 3a

By applying the formula, we get,

(2a) * (3a) = 900 * value of LCM

$6a^{2}$ = 900 * value of LCM

$a^{2}$ /150 = value of the LCM

The LCM of 2a and 3a is

2 * 3*a

= 6a

From both the above values we have,

$a^{2}$/ 150 =6a

a = 6 *150

a = 900

Now, let the number x =2a

By putting the value of 'a' already derived, we get,

2 *900 = 1800

Now, let the number y= 3a

3 * 900 = 2700

We after calculating the LCM of 1800 and 2700,we get,

2 * 2* 2* 3* 3*5* 5 = 5400

Therefore, the LCM of the numbers of x and y will be 5400.

#SPJ2