Answer:
No. of marbles with Erick at first = 45
Step-by-step explanation:
ratio of Erick's marbles to Henry's marbles = 3:2
No.of marbles with Erick = 3x
No. of marbles with Henry = 2x
Erick lost 15 marbles to Henry.
So, now the no. of marbles with Erick = 3x - 15
now the no. of marbles with Henry = 2x + 15
3x - 15 / 2x+15 = 2/3
3 *( 3x -15) = 2 * ( 2x +15) {cross multiplication}
3*3x - 3*15 = 2*2x + 2*15
9x - 45 = 4x + 30
9x - 4x = 30 + 45
5x = 75
x = 75/5
x = 15
No. of marbles with Erick at first = 3x = 3*15 = 45
