Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Represent the following situations mathematically: (i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

Represent the following situations mathematically: (i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with. 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5960 Points
8 months ago
Dear Student

Let us say,
the number of marbles John have = x.
Therefore,
number of marble Jivanti have = 45 - x
After losing 5 marbles each,
Number of marbles John have = x - 5
Number of marble Jivanti have = 45 - x - 5 = 40 - x
Given that the product of their marbles is 124.
∴ (x - 5)(40 - x) = 124
⇒ x^2 – 45x + 324 = 0
⇒ x^2 – 36x - 9x + 324 = 0
⇒ x(x - 36) -9(x - 36) = 0
⇒ (x - 36)(x - 9) = 0
Thus, we can say,
x - 36 = 0 or x - 9 = 0
⇒ x = 36 or x = 9
Therefore, If, John's marbles = 36,
Then, Jivanti's marbles = 45 - 36 = 9
And if John's marbles = 9,
Then, Jivanti's marbles = 45 - 9 = 36

Thanks

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free