Question

The two numbers are in the ratio 3:4 the product of their hcf and lcm is 2028 the sum of the numbers is? with solution

Answer 1

The two no. Are 3x and 4x
Now their HCF = X
and their LCM = 12x
X * 12X = 2028
X = 13
So the no. Are 13*3 = 39
13*4 = 52

Answer 2

Answer:

91

Step-by-step explanation:

Given :The two numbers are in the ratio 3:4 the product of their hcf and lcm is 2028

To Find : the sum of the numbers is?

Solution:

The two numbers are in the ratio 3:4

Let the ratio be x

So, the numbers are 3 x and 4 x

The product of their hcf and lcm is 2028

$HCF \times LCM = \text{Product of two numbers}$

$2028 =3x \times 4x$

$2028 =12x^2$

$\frac{2028}{12} =x^2$

$169=x^2$

$\sqrt{169}=x$

$13=x$

So, numbers are $3x = 3\times 13 = 39$ and $4x = 4\times 13 = 52$

Sum of numbers = 39+52= 91

Hence  the sum of the numbers is 91.