Question

Divide 380 among A, B and C in such a way that B gets 30 more than A and C gets 20 more than B. ​

Answer 1

Answer:

A = 100 B = 130 C = 150

Step-by-step explanation:

Translated into a system of equations:

A+B+C = 380

B = A+30

C = B + 20

So we find B from the last one:

B = C-20

Plug it in the second one:

C-20 = A+30

A = C-50

Plug it in the first:

C-50 + C-20 + C = 380

3C - 70 = 380

3C = 450

C=150

A = C - 50 = 150 - 50 = 100

B = C - 20 = 150 - 20 = 130

Answer 2

A will have=100 , B will have=100+30=130  and C will have=100+30+20=150