Question

the HCF and LCM of two numbers are 135 and 7560 respectively if one number is 280 dind the other number​

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The second Number is 3645.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

HCF of the Numbers = 135

LCM of the Numbers = 7560

One Number = 280

To Find :

The second Number

Solution :

Consider the second number as x

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

$\longrightarrow$ 135 × 7560 = x × 280

$\longrightarrow$ 1020600 = 280x

$\longrightarrow$ x = 1020600/280

$\longrightarrow$ x = 3645

∴ The second Number is 3645.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\longrightarrow$ 135 × 7560 = 3645 × 280

$\longrightarrow$ 1020600 = 1020600

∴ The second Number is 3645.

Answer 2

$\huge\textbf{Answer:-}$

According to the given question:-

• 135 is the given HCF to numbers
• 7560 is the LCM of Numbers
• 280 is the One Number

Let is find the Second Number :-

• Let y be the second Number

Using formula:-

• LCM × HCF = Product of the two Numbers

Here,

$= > (135 × 7560 = y × 280 )$

$= > (1020600 = 280y)$

$= > y = \frac{1020600}{280}$

$= > y = 3645$

Therefore, 3645 is the Second Number

Time for checking the answer (Verification)

$(135 × 7560 = 3645 × 280) \\ </p><p>(1020600 = 1020600 )$

Hence, verified that 3645 is the Second Number

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