Sarah intended to multiply a two-digit number and a three-digit number, but she left out the multiplication sign and simply placed the two-digit number to the left of the three-digit number, thereby forming a five-digit number. This number is exactly nine times the product Sarah should have obtained. What is the sum of the two-digit number and the three-digit number

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Sarah intended to multiply a two-digit number and a three-digit number, but she left out the multiplication sign and simply placed the two-digit number to the left of the three-digit number, thereby forming a five-digit number.  The sum of the two-digit number and the three-digit number is B)is 126

Multiplication is an operation that represents the basic idea of the repeated addition of an identical number. The numbers that are elevated are called the elements and the result this is obtained after the multiplication of or greater numbers is known as the product of these numbers.

In mathematics, multiplication is a technique of finding the made of two or extra numbers. it's miles one of the primary arithmetic operations, that we use in normal life.

In mathematics, a product is the result of multiplication or an expression that identifies elements to be accelerated. For example, 30 is fabricated from 6 and 5, and xcdot is manufactured from x and.

Let p be a two-digit number and q be a three-digit number

here 1000p+q=9pq

⇒9pq−1000p−q=0

Second Hint

(9p−1)(q−1000/9) =1000/9

⇒(9p−1)(9q−1000) =1000

Final Step

from factors of 1000 gives 9p-1=125

⇒p=14,q=112

⇒112+14=126 .

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Question: Sarah intended to multiply a two-digit number and a three-digit number, but she left out the multiplication sign and simply placed the two-digit number to the left of the three-digit number, thereby forming a five-digit number. This number is exactly nine times the product Sarah should have obtained, find the sum of the two-digit number and the three-digit number.

A)is 107

B)is 126

C)is 840

D)cannot be determined from the given information

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