)Form two linear equations to find incomes from the following informat

1.	)Form two linear equations to find incomes from the following information:A and B have incomes in the ratio 3:4 and their expenses are in the ratio 2:3, and eachsaves 8000
Answer» Let incomes of A and B are 3x and 4x Let expenses of A and B are 2y and 3y Then,3x - 2y = 8000.....(1)4x - 3y = 8000.....(2) Multiply eq(1) by 3 and eq(2) by 29x - 6y = 24000....(3)8x - 6y = 16000....(4) Subtract eq(4) from eq(3), we getx = 24000 - 16000 = 8000 Put value of x in eq(1)38000 - 2y = 80002y = 16000y = 8000 Income of A = 38000 = 24000Expense of A = 28000 = 16000 Income of B = 48000 = 32000Expense of B = 3*8000 = 24000

)Form two linear equations to find incomes from the following information:A and B have incomes in the ratio 3:4 and their expenses are in the ratio 2:3, and eachsaves 8000

Answer»

Let incomes of A and B are 3x and 4x

Let expenses of A and B are 2y and 3y

Then,3x - 2y = 8000.....(1)4x - 3y = 8000.....(2)

Multiply eq(1) by 3 and eq(2) by 29x - 6y = 24000....(3)8x - 6y = 16000....(4)

Subtract eq(4) from eq(3), we getx = 24000 - 16000 = 8000

Put value of x in eq(1)3*8000 - 2y = 80002y = 16000y = 8000

Income of A = 3*8000 = 24000Expense of A = 2*8000 = 16000

Income of B = 4*8000 = 32000Expense of B = 3*8000 = 24000