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The monthly incomes of two persons are in the ratio $9: 7$ and their monthly expenditures are in the ratio $4: 3$. If each saved ₹5,000, express the given situation algebraically as a system of linear equations in two variables. Hence, find their respective monthly incomes.
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Let us assume that income of two persons be $\text{Rs} 9x$ and $\text{Rs} 7x$ and their expenditures be $\text{Rs} 4y$ and $\text{Rs} 3y$
ATQ
$9x-4y = 5000$
and $7x - 3y = 5000$
Solving the two equations, we get $x = 5000$
$\therefore$ Monthly incomes of two persons are ₹45000 and ₹35000 respectively.
ATQ
$9x-4y = 5000$
and $7x - 3y = 5000$
Solving the two equations, we get $x = 5000$
$\therefore$ Monthly incomes of two persons are ₹45000 and ₹35000 respectively.