Question
The number of pencils with Tom and Jerry is 11 more than
with Spike. Also, Jerry and Spike together have 9 more than Tom. If Tom and Spike together have 30 pencils, find the total number of pencils they have together.Solution
ATQ,
Let pencils with Tom = x, Jerry = y, Spike = zThen:
x + y = z + 11 ………(1)
y + z = x + 9 ………(2)
x + z = 30 ………(3)
Add (1), (2), and (3):
→ 2(x + y + z) = x + z + 11 + 9 + 30 = x + z + 50
→ x + z = 30
→ 2(x + y + z) = 30 + 50 = 80
→ x + y + z = 40
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