120 IS DIVIDED BETWEEN X, Y AND Z, SO THAT X SHARE IS 20 MORE THAN Y
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Answer:
Step by step explanation:
Bro this is not the full question the full question is
Rs 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share?
Answer:
SharonrAmbitious
Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. Then share of B is Rs 20
Solution:
Given that Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's
To find: share of B
Rs. 120 are divided among A, B, C
Therefore,
Share of A + Share of B + Share of C = 120
A + B + C = 120 ---- eqn 1
From given information,
Share of A = Rs 20 + Share of B
A = 20 + B ----- eqn 2
Share of A = Share of C - Rs 20
A = C - 20 ----- eqn 3
Subtract eqn 2 and eqn 3
A - A = 20 + B - C + 20
40 + B - C = 0
C = B + 40 ---- eqn 4
Substitute eqn 2 and eqn 4 in eqn 1
20 + B + B + B + 40 = 120
60 + 3B = 120
3B = 120 - 60
3B = 60
B = 20
Thus share of B is Rs 20