Question

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 1

Answer:A=B+20

A=C-20

B+20=C-20

C=B+40

B+20 : B : B+40

B+20+B+B+40=120

3B+60=120

3B=60

B=20

Step-by-step explanation:

Answer 2

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

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