A:B = 3:4, B:C = 6:7, C:D = 14:15. What is the ratio A:D?
3:5
To combine the ratios, make the common terms equal. First link A:B and B:C by equalising B.
A:B \(= 3:4\) and B:C \(= 6:7\). Scale A:B by 3 and B:C by 2 so that B becomes 12 in both: A:B \(= 9:12\) and B:C \(= 12:14\). Thus A:B:C \(= 9:12:14\).
Now link C with C:D \(= 14:15\). Here C is already 14 in both, so A:B:C:D \(= 9:12:14:15\).
Therefore A:D \(= 9:15 = \frac{9}{15} = \frac{3}{5} = 3:5\).
Hence, the ratio A:D is 3:5.
Similar Questions
If \((x+y):(x-y)=5:2\), find \((x^3+y^3):(x^3-y^3)\)
What should be subtracted from 7, 9, 8, 11 so that the remaining numbers may be proportional?
- A ribbon is cut into three pieces in the ratio 2:3:5. If the length of the longest piece is 20 cm, what is the total length of the ribbon?
- Three numbers are such that the second is 150% of the first, and the third is 80% of the second. What is the ratio of the first to the third?
The present ages (in years) of A and B are in the ratio of 3:4. Five years back, the ratio of their ages was 2:3. What is the present age (in years) of A?
The monthly incomes of A, B and C are in the ratio 2:9:3 and their expenses are in the ratio 3:9:5. If A’s saving is half of his total income, then savings of A, B and C are, respectively, in the ratio of:
If 20% of (P + Q) = 50% of (P – Q), then find the ratio P : Q.
If \(A:B = 2:3\) and \(B:C = 4:5\), find \(A:C\).
Rs. 640 shared among 8 people. 2 back out. What's new share per person?
Two numbers are in the ratio 5:7. If 9 is added to each, the new ratio becomes 8:11. What are the original numbers?
Important Questions from Ratio and Proportion
In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?
If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:
The third proportional to 9 and 15 is:
The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:
The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:
