Form a pair of linear equations for each of the following problems and find their solution 1. The ratio of incomes of two persons is 9 : 7 and the ratio of their expenditures is 4:31 each of them manages to save 2000 per month, find their monthly income.
Answers
Answer:
18000 and 14000
Step-by-step-explanation:
' Income = saving + expenditure '
Given,
ratio of their incomes is 9:7 and that of their expenditures is 4:3. Each of them saves 2000 per month.
Let their expenditure be 4x and 3x respectively.
⇒ ratio of income = 9/7
⇒ income₁ / income₂ = 9/7
⇒ (saving₁ + expenditure₁)/(saving₂ + expenditure₂) = 9/7
⇒ (2000 + 4x)/(2000 + 3x) = 9/7
⇒ 7(2000 + 4x) = 9(2000 + 3x)
⇒ 14000 + 28x = 18000 + 27x
⇒ 28x - 27x = 18000 - 14000
⇒ x = 4000
Hence,
monthly income of 1st person = saving₁ + expenditure₁
= 2000 + 4x = 2000 + 4(4000)
= 18000
monthly income of 2nd person = saving₂ + expenditure₂
= 2000 + 3x = 2000 + 3(4000)
= 14000
See the attachments for solution.
