Answer:
The value of no. of marbles does bob has = 135
Step-by-step explanation:
Let no. of marbles Bob has = x
no. of marbles Andy has = y
no. of marbles Joe has = z
From the given data in the question,
x = 15 + z ------------------------ 1
y = 25 + x + z ------------------ 2
x + y + z = 535 ---------------- 3
Put the value of x from equation 1 to equation 2 we get ,
y = 25 + 15 + 2 z = 40 + 2 z -------------- 4
Put the value of x and y from equation (1) and (4) to equation (3) we get
⇒ 15 + z + 40 + 2 z + z = 535
⇒ 55 + 4 z = 535
⇒ 4 z = 480
⇒ z = 120 ---------------------- 5
Put this value of z in equation 4 we get
⇒ y = 40 + 2 × 120
⇒ y = 280 --------------------- 6
Put this value of y and z in equation 3 we get
x = 535 - 280 - 120
x = 135 ---------------------- 7
Thus the value of no. of marbles does bob has = x = 135
