Question

. The monthly income ratio of two individuals is 8: 7 and the monthly expenditure ratio is 19:16. If the monthly savings of both the persons are Rs. If 2550, find the monthly income of each person. Explain the importance of saving in life.

1. Three lines x + 3y = 6. 2x - 3y = 12 and x = 0 represent the sides of a triangular beautiful garden. Find the intersection of these three lines geometrically and if all measurements are km, find the area of the garden. What kind of treatment should be expected from the public who come to such a beautiful garden?

Answer this in Hindi. Please reply quickly

Answer 1

Answer:

Rs. 12,240 ; Rs. 10,710

Step-by-step explanation:

Fist individual is A and second one is B.

Income ratio A : B = 8 : 7 ⇒ Income of A is 8x ; Income of B is 7x.

Expense ratio A : B = 19 : 16 ⇒ Expense of A is 19y ; Expense of B is 16y.

(A) 8x - 19y = 2550

(B) 7x - 16y = 2550

I prefer to use the Cramer's rule for solving the system of linear equation with large numbers.

$A=\left[\begin{array}{cc}8&19\\7&16\end{array}\right]$ = 128 - 133 = - 5

$A_{x} =\left[\begin{array}{cc}2550&19\\2550&16\end{array}\right]$ = - 7650

$A_{y} =\left[\begin{array}{cc}8&2550\\7&2550\end{array}\right]$ = 2550

x = - 7650 ÷ (- 5) = 1530

y = 2550 ÷ ( - 5) = - 510

(A): 1530 × 8 = 12,240 ,

(-) 510 × 19 = (-) 9,690 [12,240 - 9,690 = 2,550]

(B): 1530 × 7 = 10,710 ,

(-) 510 × 16 = (-) 8,160 [10,710 - 8,160 = 2,550]