Advertisements
Advertisements
Question
The ratio of present ages of Albert and Salim is 5 : 9. Five years hence ratio of their ages will be 3 : 5. Find their present ages.
Advertisements
Solution
Let the present ages of Albert and Salim be 5x years and 9x years, respectively.
5 years hence,
Age of Albert = (5x + 5) years
Age of Salim = (9x + 5) years
It is given that five year hence, the ratio of their ages will be 3 : 5.
`therefore (5x + 5)/(9x + 5) = 3/5`
⇒ 25x + 25 = 27x + 15
⇒ 27x - 25x = 25 - 15
⇒ 2x = 10
⇒ x = 5
∴ Present age of Albert = 5x = 5 × 5 = 25 years
Present age of Salim = 9x = 9 × 5 = 45 years
Thus, the present age of Albert is 25 years and the present age of Salim is 45 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 second quantity.
5 litre, 2500 ml
Find the reduced form of the ratio of the first quantity to the second quantity.
3 years 4 months, 5 years 8 months
Find the reduced form of the ratio of the first quantity to second quantity.
7 minutes 20 seconds, 5 minutes 6 seconds
Express the following percentage as ratio in the reduced form.
44 : 100
Express the following percentage as ratios in the reduced form.
6.25%
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.
If 6 : 5 = y : 20 then what will be the value of y?
24 Bananas were distributed between Shubham and Anil in the ratio 3 : 5, then how many bananas did Shubham get?
For the following numbers write the ratio of first number to second number in the reduced form.
21, 48
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
Write the following ratio in the reduced form.
Radius to the diameter of a circle.
Convert the following ratio into percentage.
`22/30`
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.
17 Rupees, 25 Rupees 60 paise
Write the ratio of first quantity to second quantity in the reduced form.
5 dozen, 120 units
