Question

The sum of HCF and LCM of two numbers is 435. LCM is 28 times their HCF.If one of the number is 60,find the other number?

Answer 1

Here is your answer

Answer 2

Answer:

Other number = 105

Step-by-step explanation:

Given : The sum of HCF and LCM of two numbers is 435. LCM is 28 times their HCF. If one of the number is 60.

To find : The other number

Solution :

Let the HCF of numbers is x

Let LCM of numbers be y

The sum of HCF and LCM of two numbers is 435

$x+y=435$  ......[1]

LCM is 28 times their HCF

$y=28x$ ........[2]

Put y value from [2] in [1]

$x+28x=435$

$29x=435$

$x=15$

Put back in [2]

$y=28x$

$y=28(15)$

$y=420$

HCF = 15

LCM = 420

One number is 60

We know,

Product of two numbers = HCF × LCM

60 × other number  = 15 × 420

60 × other number  = 6300

Other number = 105