Question

A rich merchant had collected many gold coins. he did not want anybody to know about him. one day, his wife asked, "how many gold coins do we have?" after pausing a moment, he replied, "well ! if divided the coins into two unequal numbers, then 48 times the difference between the two numbers equals the difference between the square of the two number". the wife looked puzzled. can you help the merchant's wife by finding out how many gold coins the merchant has?

Answer 1

I hope this is correct and if it helped you please mark it brainliest

Answer 2

Concept

A word problem can be solved by the equations formed and solved according to the given statement

Given

• If divided the coins into two unequal numbers
• then 48 times the difference between the two numbers equals the difference between the square of the two number

Find

We need to find that how many gold coins the merchant has

Solution

Let us assume the unequal number of gold coins  be x and y

According to the statement ,

$48(x-y)$ = $(x^2-y^2)$ ------ (1)

$48 (x-y) = (x-y)(x+y)$

$(x+y)(x-y)-48(x-y) =0$

$(x-y)(x+y-48)$

$x - y = 0$ and $x+y -48 =0$

As given in x ≠ y

Therefore

$x+y = 48$

Total coins does the merchant has is 48

#SPJ2