Question

A five digit number is a multiple of 11 and 91 .If the second digit from the left is 8 then find fourth digit from the left to the number ​

Answer 1

Answer:

• The fourth digit from the left to the number is 8.

Step-by-step explanation:

Given that:

• A five digit number is a multiple of 11 and 91.
• The second digit from the left is 8.

To Find:

• Fourth digit from the left to the number .

Finding LCM of 11 and 91:

By prime factorisation.

• Factors of 11 = 11
• Factors of 91 = 13 × 7

Lowest common factor of 11 and 91 = 11 × 13 × 7 = 1001

Finding the five digit number:

• For making five digit number we have to multiply by 88 to the LCM of 11 and 91.

• Five digit number = 1001 × 88
• Five digit number = 88088

Here,

• Second digit from the left is 8 and fourth digit from the left to the number is also 8.

Hence,

• The fourth digit from the left to the number is 8.

Answer 2

Question:-

• A five digit number is a multiple of 11 and 91 .If the second digit from the left is 8 then find fourth digit from the left to the number.

To Find:-

• Find fourth digit from the left to the number.

Solution:-

• Common factor for 11 and 91 is 1001

First ,

We have to find the fifth digit number:-

• We have to multiply 88 with LCM of 11 and 91 to make a five digit number.

$\sf\longrightarrow \: Number = 11 \times 91 \times 88$

$\sf\longrightarrow \: Five \: digit \: number = 88088$

Hence ,

• The fourth digit from the left to the number is 8.