THE RATIO OF ANNUAL INCOMES OF A AND B IS 4 :3 AND THEIR ANNUAL EXPENDITURE IS 3 :2 IF EACH OF THEM SAVES SHILLINGS 1000 A YEAR FIND THEIR ANNUAL INCOMES?

Annual Income of A=

and

Annual Income of B=

Step-by-step explanation:

Given Data:

Ratio of annual income of A and B=4:3

Ratio of expenditures of A and B=3:2

Saving of A and B=1000

Required: Annual Income of A and B=?

Solution:

If ratio of income of A and B is 4:3

then let Income of A= and Income of B=

If ratio of expenditure of A and B is 3:2

then let expenditure of A= and expenditure of B=

Therefore,

      ...........

and ..........

subtracting Eq(1) and Eq(2), we get

putting in Eq(1), we get value of as

because x and y are equal in Eq (3)

Now, Annual Income of A=

and Annual Income of B=

in if you ask questions, the points are taken from your total and given to the one who answered it..

so if i have 30 points and i ask a question for 5 points, then when someone asks a question i will lose 5 points and the answerer earns 5

happy to

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.