The ratio of incomes of two persons is 9:7 and the ratio of their expenditures is 4:3. If
each of them manages to save 2000 per month, find their monthly income.
Answers
9x - 4y = 2000. 1st equation and 7x-3y is 2nd equation and then solve it
Answer:
Step-by-step explanation:
Let the income of the first person = 9x
Income of the second person = 7x
Let the expenditure of first person = 4y
Expenditure of the second person = 3y
According to Question ,
Each of them manages to save ₹2000 per month....
➪So, 9x - 4y = 2000....(1)
➪7x - 3y = 2000....(2)
➪ Multiply 3 to (1) and 4 to (2)....
we get,
➪27x - 12y = 6000
➪28x - 12y = 8000 [ here the signs change ]
- x = - 2000
➪x = 2000
Substitute x = 2000 in (1) ,
➪9 (2000) - 4y = 2000
➪18000 - 4y = 2000
➪18000 -2000 = 4y
➪16000 = 4y
➪ y = 4000
❦ x = 2000 ; y = 4000
______________________________________
➪ Income of 1 st person = 9x = ₹ 18000
➪ Income of 2 nd person = 7x = ₹ 14000
Read more on Brainly.in - https://brainly.in/question/16607994#readmore