Question

A person multiply two numbers. Instead of multiplying by 58, he multiplied by 85. The product went up to by 540. What is the correct product? *

Answer 1

Answer:

given,

a*58=b,

a*85=(b+540),

=>(b/58)*85=(b+540)

=>85b=58b+(540*58),

=>27b=(540*58),

=>b=1160.

therefore,the correct product is 1160.

Answer 2

Answer:

The correct product is 1160.

Step-by-step explanation:

Given, a person multiply two numbers.

Instead of multiplying by 58, he multiplied by 85.

When multiplied with 85, the product went up by 540.

Let the number be x.

And the product with actual number, 58 is

$x\times 58=y$

Rearranging the terms, $x=\frac{y}{58}$                                                            ...(1)

When it is multiplied with 85, then the product went up by 540, this can be written as $x\times 85=y+540$                                                             ...(2)

Substituting value of x from equation (1) in equation (2), we get

$\frac{y}{58}\times 85=y+540$

$\implies 85y=58\times (y+540)$

Opening the bracket,

$\implies 85y=58\times y+58\times 540$

Bringing like terms to one side,

$\implies 85y-58 y=58\times 540$

$\implies 27y=58\times 540$

$\implies y=\frac {58\times 540}{27}$

$\implies y=58\times 20=1160$

Therefore, the correct product when the number x is multiplied with 58 is 1160.