Advertisements
Advertisements
प्रश्न
The ages of sonu and Monu are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.
उत्तर
It is given that the ratio of the ages of Sonu and Monu is 7: 5 .
Let the present ages of Sonu and Monu be 7x and 5x years .
After ten years:
Age of Sonu = 7x + 10 years
Age of Monu = 5x + 10 years
According to the question,
\[\frac{7x + 10}{5x + 10} = \frac{9}{7}\]
or 49x + 70 = 45x + 90
or 49x - 45x = 90 - 70
or 4x = 20
or x = 5
∴ Present age of Sonu =\[ 7 \times 5 = 35\text{ years }. \]
Present age of Monu =\[ 5 \times 5 = 25\text{ years }. \]
APPEARS IN
संबंधित प्रश्न
Solve: `(8x - 3)/(3x) = 2`
Solve: `(9x)/(7 - 6x) = 15`
Solve: `(3y + 4)/(2 - 6y) = (-2)/5`
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages.
I am currently 5 times as old as my son. In 6 years time I will be three times as old as he will be then. What are our ages now?
Ravish has three boxes whose total weight is \[60\frac{1}{2}\] kg. Box B weighs \[3\frac{1}{2}\] kg more than box A and box C weighs \[5\frac{1}{3}\] kg more than box B. Find the weight of box A.
The numerator of a rational number is 3 less than the denominator. If the denominator is increased by 5 and the numerator by 2, we get the rational number 1/2. Find the rational number.
A steamer goes downstream from one point to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of the stream be 1 km/hr, find the speed of the steamer in still water and the distance between the ports.
The length of a rectangle exceeds its breadth by 9 cm. If length and breadth are each increased by 3 cm, the area of the new rectangle will be 84 cm2 more than that of the given rectangle. Find the length and breath of the given rectangle.
