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 lin

Question

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.

Accepted Answer

Step 1: Let incomes $= ₹ 9x$ and $₹ 7x$, expenditures $= ₹ 4y$ and $₹ 3y$.
$9x - 4y = 5000$
Step 2: $7x - 3y = 5000$
Step 3: Solving: $x = 5000$
Step 4: $	herefore$ Monthly incomes are $₹ 45{,}000$ and $₹ 35{,}000$ respectively.

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