Advertisements
Advertisements
प्रश्न
Two numbers are in the ratio $$5 : 7$$. If 8 is subtracted from each, the ratio becomes $$3 : 5$$. Find the numbers.
संख्यात्मक
Advertisements
उत्तर
Let the two numbers be $$5x$$ and $$7x$$.
According to the question: $$\frac{5x - 8}{7x - 8} = \frac{3}{5}$$
Cross-multiply: $$5(5x - 8) = 3(7x - 8)$$
$$25x - 40 = 21x - 24$$
Solve for $$x$$: $$25x - 21x = 40 - 24$$
$$4x = 16 \implies x = 4$$
The numbers are:
First number = $$5 \times 4 = 20$$
Second number = $$7 \times 4 = 28$$
Therefore, the numbers are 20 and 28.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
