Question

Question

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 the had to start with.

SOLVE BY SUBSTITUTION METHOD ONLY. { By linear equations in two variables}

Irrelevant and incorrect and copied answers will be reported
PERFECT ANSWER WILL BE MARKED AS BRAINLIST

Answer 1

Answer:

Let the no. be x

Equation: 5x-45=124

Step-by-step explanation:

5x-45=124

5x = 124 + 45

5x = 169

x = 169/5

x = 33.8

Answer 2

Given,

John and Jivanti together have 45 marbles.

Let the number of Marbles John had be x .

Then the number of marbles Jivanti had=> 45−x

Both of them lost 5 Marbles each

Therefore, the number of marbles John had=> x−5

The number of marbles Jivanti had=> 45−x−5 = 40−x

Now product of the number of Marbles => 124

∴ (x−5)(40−x)=124

=> 40x−x²−200+5x=124

=> −x²+45x−200−124=0

=> x²−45x+328=0 --- (Multiplying by(-1))

By factorization method

=> x²−36x−9x+324=0

=> x(x−36)−9(x−36)=0

=> (x−36)(x−9)=0

x= 36 or x= 9

When John has 36 Marbles, Jivanti has = 45−x= 45−36= 9 marbles

When John has 9 Marbles and Jivanti has = 45−x= 45−9= 36 marbles.

..Hope it helps you.