Question
Find (x + y) ÷ (x − y), if
$\text{x}=\frac{2}{5},\text{y}=\frac{1}{2}$
$\text{x}=\frac{2}{5},\text{y}=\frac{1}{2}$
✓
Answer
$\text{x}=\frac{2}{5},\text{y}=\frac{1}{2}$
$\therefore\text{x}+\text{y}=\frac{2}{5}+\frac{1}{2}$
$=\frac{4+5}{10}=\frac{9}{10}$
$\text{x}-\text{y}=\frac{2}{5}-\frac{1}{2}$
$=\frac{4-5}{10}=\frac{-1}{10}$
$\therefore(\text{x}+\text{y})\div(\text{x}-\text{y})=\frac{9}{10}\div\frac{-1}{10}$
$=\frac{9}{10}\times\frac{10}{-1}$
$=\frac{9}{-1}=-9$
$\therefore\text{x}+\text{y}=\frac{2}{5}+\frac{1}{2}$
$=\frac{4+5}{10}=\frac{9}{10}$
$\text{x}-\text{y}=\frac{2}{5}-\frac{1}{2}$
$=\frac{4-5}{10}=\frac{-1}{10}$
$\therefore(\text{x}+\text{y})\div(\text{x}-\text{y})=\frac{9}{10}\div\frac{-1}{10}$
$=\frac{9}{10}\times\frac{10}{-1}$
$=\frac{9}{-1}=-9$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Radii of the circles are given below, find their areas.
28 cm
After allowing a discount of 10% on the marked price, a trader still makes a gain of 17%. By what percent is the marked price above the cost price?
Find the amount of Rs. 10000 after 2 years compounded annually; the rate of interest being 10% per annum during the first year and 12% per annum during the second year. Also, find the compound interest.
All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?
Solve the following equation and also check your result in case:
$\frac{2}{3\text{x}}-\frac{3}{2\text{x}}=\frac{1}{12}$
→$\frac{2}{3\text{x}}-\frac{3}{2\text{x}}=\frac{1}{12}$
Draw a circle of radius 28mm. Draw any one triangle and draw a trapezium on the graph paper. Find the area of these figures by counting the number of small squares on the graph paper. Verify your answers using formula for area of these figures.Observe that smaller the squares of graph paper, better is the approximation of area.
A cylindrical water tank of diameter 1.4m and height 2.1m is being fed by a pipe of diameter 3.5cm through which water flows at the rate of 2 metre per second. In how much time the tank will be filled?
In the given figure, find the angle measure x.
Verify the division algorithm i.e., Dividend = Divisor × Quotient + Remainder, in the following. Also write the quotient and remainder.
Dividend: $4 y^3+8 y+8 y^2+7$
Divisor: $2 y^2-y+1$
→Dividend: $4 y^3+8 y+8 y^2+7$
Divisor: $2 y^2-y+1$
Simplify:
$(3 x+2 y)(4 x+3 y)-(2 x-y)(7 x-3 y)$
→$(3 x+2 y)(4 x+3 y)-(2 x-y)(7 x-3 y)$