Question

The LCM of two numbers is 2175 and their HCF is 145. If one of the numbers is
125, then the other number is
la) 725
(b) 2523
(c) 1845
(d) 3125​

Answer 1

Answer:

(b) 2523

Explanation :-

formula :-

product of given no.s = LCM × HCF

Let one of the two numbers be 125 and other be x.

$= > x \: \times 125 = \: lcm \times hcf \\ = > x \times 125 = 2175 \times 145 \\ = > x \: = 315375 \div 125 \\ = > x \: = \frac{315375}{125} \\ = > x = 2523$

$verification \: \\ product \: of \: given \: nos \: = \: lcm \: \times hcf \\ = > 125 \times 2523 = 2175 \times 145 \\ = > 315375 = 315375$

Therefore,

The other no. is (b) 2523

Answer 2

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formula :-

product of given no.s = LCM × HCF

Let one of the two numbers be 125 and other be x

$\begin{gathered} = > x \: \times 125 = \: lcm \times hcf \\ = > x \times 125 = 2175 \times 145 \\ = > x \: = 315375 \div 125 \\ = > x \: = \frac{315375}{125} \\ = > x = 2523 \\ \end{gathered}$

$\begin{gathered}verification \: \\ product \: of \: given \: nos \: = \: lcm \: \times hcf \\ = > 125 \times 2523 = 2175 \times 145 \\ = > 315375 = 315375 \\ \end{gathered}$

Therefore,

The other no. is (b) 2523