Question

be LCM and HCF of two numbers are 4125 and 25 respectively one number is 375 find by how much is a second number less than the first​

Answer 1

Answer:

Second number is 100 less than first number.

Step-by-step explanation:

Given that:

• LCM of two numbers = 4125
• HCF of two numbers = 25
• One number = 375
• Let the other number = x

Formula used:

LCM × HCF = Product of two number

According to the question:

→ 4125 × 25 = 375 × x

→ x = (4125 × 25)/375

→ x = 275

To find:

• How much is a second number less than the first number?

Finding the difference between both the numbers:

= First number - Second number

= 375 - 275

= 100

Answer 2

Gɪᴠᴇɴ :

• L.C.M of two numbers are 4125.

• H.C.F of two numbers are 25.

• One number is 375.

Tᴏ Fɪɴᴅ :

• By how much is a second number less than the first number.

Cᴀʟᴄᴜʟᴀᴛɪᴏɴ :

Let,

• Second number be x.

We know that,

$\red\bigstar\:\bigg\{\:\bf\purple{H.C.F\times{L.C.F}\:=\:1st\:no.\times{2nd\:no.}\:}\:\bigg\}\:\red\bigstar$

➛ $\bf{25\times{4125}\:=\:375\times{x}\:}$

➛ $\bf{103125\:=\:375\times{x}\:}$

➛ $\bf{x\:=\:\dfrac{103125}{375}\:}$

➛ $\bf\pink{x\:=\:275\:}$

➣ To calculate, by how much is a second no. less than the first no., we calculate the difference between two numbers.

➙ $\bf{1st\:no.\:-\:2nd\:no.}$

➙ $\bf{375\:-\:275}$

➙ $\bf\green{100}$

$\Large\tt{Therefore,}$

Second number is 100 less than the first number.