Question
The number of marbles with Amit and Rahul is 14 more than
with Kabir. Rahul and Kabir together have 4 more marbles than Amit. If Amit and Kabir together have 36 marbles, how many marbles are there in total?Solution
ATQ,
Let marbles with Amit = x, Rahul = y, Kabir = zThen:
x + y = z + 14 ………(1)
y + z = x + 4 ………(2)
x + z = 36 ………(3)
Add (1), (2), and (3):
→ 2(x + y + z) = x + z + 14 + 4 + 36 = x + z + 54
→ x + z = 36
→ 2(x + y + z) = 36 + 54 = 90
→ x + y + z = 45
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