Question

4. The HCF of two numbers is 38 and their
LCM is 98154. If one of the number is
1558. Find the other number
(a) 2063
(b) 2150
(c) 2394
(d) 2421
​

Answer 1

HCF * LCM / one number = other number

So,

( 38×98154)÷1558

= 2394

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

Option (c)

2394

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

The LCM = 98154

The HCF = 38

One number = 1558

To find :

The second number

Solution :

$\star$ As we know :

The Relation between HCF and LCM

$\boxed{\tt{HCF \times LCM = Product\:of\:2\:numbers}}$

HCF = 38

LCM = 98154

One number = 1558

Consider the second number as x

$\sf{\implies}38 \times 98154 = 1558\times x$

$\sf{\implies}3729852 = 1558x$

$\sf{\implies}x = \dfrac{3729852}{1558}$

$\sf{\implies}x = 2394$

$\therefore$ The second number is 2394

$\therefore$ The answer is

Option (c)

2394

$\textbf{\underline{\underline{Verification :-}}}$

$\sf{\implies}38 \times 98154 = 1558\times 2394$

$\sf{\implies}3729852 = 3729852$

$\therefore$ The second number is 2394

$\therefore$ The answer is

Option (c)

2394