If a: b=2:3, b:c=5: 7, then find the ratio c: a.
21:10
Given:
- a : b = 2 : 3
- b : c = 5 : 7
Step 1: Expressing in Terms of a Common b
- Let a = 2k and b = 3k
- Let b = 5m and c = 7m
Since b must be the same in both cases, we equate:
3k = 5m
Step 2: Expressing in Terms of a and c
Solving for k and m:
k = 5m / 3
a = 2k = 2 × (5m / 3) = 10m / 3
c = 7m
Thus, the ratio c : a is:
c : a = 7m : (10m / 3)
Multiplying both terms by 3:
(7m × 3) : (10m) = 21m : 10m
Final Answer: 21 : 10
Important Questions from Number System
A frog was at the bottom of an 80 m deep well. It attempted to come out of it by jumping. In each jump, it covered 1.15 m but slipped down by 0.75 m. The number of jumps after which it would be out of the well is:
The smallest perfect square number divisible by each of 6 and 12 is:
The L.C.M. of two different numbers are 30. Which of the following cannot be their H.C.F.?
Which is the least four-digit number which when divided by 5, 6 and 8 leaves remainder 2 in each case?
- A number when divided by 5 leaves a remainder 3.
What is the remainder when its square is divided by 5?
