A rich merchant had collected many gold coins He did not want any body to know about him One day his wife asked "Now many gold coins do we have?" After pausing a moment he replied "Well ! if divide the coins into two unequal numbers then 48 times the difference between the two numbers equal the difference between the square of the two numbers" The wife looked puzzled Can you help the merchant's wife by finding out how many gold coins the merchant has?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 48
$48 (x - y) = x^{2} - y^{2}$
$\Rightarrow 48 (x - y) = (x - y) (x + y)$
$\Rightarrow (x + y) = 48$
So sum of the unequal gold coin $= 48$

Suggest Corrections

Similar questions

Then Shubhlin told, 'Look, I had told before! There had to be an answer to my question. But why do we need the negative numbers?' Once again you were being stared upon by a lot of curious eyes. After looking at old shoe (with a hole atop) of Shubhlin, you replied: Suppose you have 4 gold coins. In mathematical terms I can say that you have +4 coins. After you spent 2 gold coins for food and 2 gold coins for clothes, you want a shoe. So, you borrowed 5 gold coins from somebody. Now if I make the same statement that you have +5 coins, is it true or false?

'Yes, that makes perfect sense. I understood the concept of negative numbers', said Shubhlin as other mathematicians nodded in agreement. Then you asked one more question, 'If you have understood the concepts, tell me if you have -5 gold coins and you earn 15 more gold coins. How many gold coins you have now, mathematically?

At this Shubhlin started thinking and told: I will have-

Q. 21 pirates collected 2720 gold coins yesterday. If they want to distribute the coins equally among themselves, how many coins will each pirate get?

Question 129

A king wanted to reward his advisor, a wiseman of the kingdom. So, he asked the wiseman to name his own reward. The wise man thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?

School got over and George went back home, had lunch and started the best part of his day. Yes, VIDEO GAMES!

But there was something different now. Instead of looking at his score, the number of levels etc. as numbers, he was looking at them as Integers. In the game Ted was playing, he has to earn coins. If he gets a gold coin, he gains $20$ points, but if by mistake he gets hold of a red coin, he loses $5$ points. Suppose he got $29$ gold coins and $17$ red coins, what’s his total score?

Join BYJU'S Learning Program

The correct option is D 4848(x−y)=x2−y2⇒48(x−y)=(x−y)(x+y)⇒(x+y)=48So sum of the unequal gold coin=48

The correct option is D 48
$48 (x - y) = x^{2} - y^{2}$
$\Rightarrow 48 (x - y) = (x - y) (x + y)$
$\Rightarrow (x + y) = 48$
So sum of the unequal gold coin $= 48$