Advertisements
Advertisements
Question
Two numbers are in the ratio 7 : 10. If 8 is added to each number, the ratio becomes 3 : 4. Find the nLimbers.
Advertisements
Solution
Let the two numbers be 7x and 10x; since the ratio between numbers is 7 : 10
Now,
`(7"x" + 8)/(10"y" + 8) = 3/4`
⇒ 28 x + 32 = 30 x + 24
⇒ 2x = 8
⇒ x = 4
∴ 7x = 28
10 x = 40
Therefore, two numbers are 28 and 40.
APPEARS IN
RELATED QUESTIONS
The bus fare between two cities is increased in the ratio 7 : 9. Find the increase in the fare, if:
- the original fare is Rs. 245;
- the increased fare is Rs. 207.
In a basket, the ratio between the number of oranges and the number of apples is 7 : 13. If 8 oranges and 11 apples are eaten, the ratio between the number of oranges and the number of apples becomes 1 : 2. Find the original number of oranges and the original number of apples in the basket.
Find the ratio of the following in the simplest fcrm:
a4 + b4 and a3 - b3
Is the ratio of 15 kg and 35 kg same as the ratio of 6 years and 14 years?
The sides of a triangle are in the ratio 3 : 2 : 4. If the perimeter of the triangle is 27 cm, find the length of each side.
Find the sub-triplicate ratio of 1 : 216
If a : b = 3 : 11, find (15a – 3b) : (9a + 5b). a
A certain sum was divided among A, B and C in the ratio 7 : 5 : 4. If B got Rs 500 more than C, find the total sum divided.
Find the following ratio in the simplest form:
2.4 km to 900 m
Divide Rs 3450 among A, B, and C in the ratio 3 : 5 : 7.
