Advertisements
Advertisements
Question
The ratio of present ages of Rehana and her mother is 2 : 7. After 2 years, the ratio of their ages will be 1 : 3. What is Rehana's present age?
Advertisements
Solution
Step 1: Represent present ages
Rehana’s age = 2x, Mother’s age = 7x
Step 2: After 2 years
After 2 years:
- Rehana's age will be 2x + 2
- Mother's age will be 7x + 2
The ratio of their ages after 2 years is given as 1 : 3. Hence:
`(2x+2)/(7x+2) = 1/3`
Step 3: Solve for x
3(2x + 2) = 1(7x + 2)
6x + 6 = 7x + 2
6x − 7x = 2 − 6
−x = −4
x = 4
Step 4: Find Rehana's present age
2x = 2(4) = 8 years.
Rehana's present age is: 8 years
APPEARS IN
RELATED QUESTIONS
From the following pair of numbers, find the reduced form of ratio of first number to second number.
38, 57
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 the second quantity.
3 years 4 months, 5 years 8 months
Express the following percentage as ratio in the reduced form.
75 : 100
Express the following percentage as ratios in the reduced form.
6.25%
Express the following percentage as a ratio in the reduced form.
52 : 100
Convert the following ratio into percentage.
`546 / 600`
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?
Find the following ratio.
The ratio of radius to circumference of the circle.
The ratio of two numbers is 31 : 23 and their sum is 216. Find these numbers.
If 6 : 5 = y : 20 then what will be the value of y?
The ages of Jatin, Nitin and Mohasin are 16, 24 and 36 years respectively. What is the ratio of Nitin’s age to Mohasin’s age?
For the following numbers write the ratio of first number to second number in the reduced form.
36, 90
For the following numbers write the ratio of first number to second number in the reduced form.
65, 117
For the following numbers write the ratio of first number to second number in the reduced form.
138, 161
Convert the following ratio into percentage.
37 : 500
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.
4 sq.m, 800 sq.cm
