Advertisements
Advertisements
Question
Present ages of Vatsala and Sara are 14 years and 10 years respectively. After how many years the ratio of their ages will become 5 : 4?
Advertisements
Solution
Let after x years, the ratio of their ages will become 5 : 4.
Age of Vatsala after x years = (14 + x) years
Age of Sara after x years = (10 + x) years
∴ `(14+x) / (10+x) = 5/4`
⇒ 56 + 4x = 50 + 5x
⇒ 5x - 4x = 56 - 50
⇒ x = 6
Thus, the ratio of their ages will become 5 : 4 after 6 years.
APPEARS IN
RELATED QUESTIONS
Find the reduced form of the ratio of the first quantity to second quantity.
700 rs, 308 rs
Find the reduced form of the ratio of the first quantity to second quantity.
₹ 700, ₹ 308
Find the reduced form of the ratio of the first quantity to second quantity.
5 litre, 2500 ml
Express the following percentage as ratio in the reduced form.
44 : 100
Express the following percentage as ratio in the reduced form.
0.64%
Convert the following ratio into percentage.
`7/16`
The ratio of ages of Abha and her mother is 2 : 5. At the time of Abha's birth her mothers age was 27 year. Find the present ages of Abha and her mother.
Find the following ratio.
The ratio of circumference of circle with radius r to its area.
Find the following ratio.
The ratio of diagonal of a square to its side, if the length of side is 7 cm.
Find the following ratio.
The lengths of sides of a rectangle are 5 cm and 3.5 cm. Find the ratio of its perimeter to area.
The ratio of length and breadth of a rectangle is 3 : 1, and its perimeter is 36 cm. Find the length and breadth of the rectangle.
The ratio of two numbers is 31 : 23 and their sum is 216. Find these numbers.
What is the ratio of 1 mm to 1 cm?
For the following numbers write the ratio of first number to second number in the reduced form.
21, 48
Write the following ratio in the reduced form.
The ratio of perimeter to the area of a square, having side 4 cm.
Convert the following ratio into percentage.
37 : 500
Convert the following ratio into percentage.
`5/8`
Write the ratio of first quantity to second quantity in the reduced form.
1024 MB, 1.2 GB (1024 MB = 1 GB)
Write the ratio of first quantity to second quantity in the reduced form.
5 dozen, 120 units
Write the ratio of first quantity to second quantity in the reduced form.
4 sq.m, 800 sq.cm
