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Question

The sum of three numbers is 455. The ratio of the first number to the second number is 2:3, and the ratio of the second number to the third number is 4:5. Find the first number

This question was previously asked in
RRB Group D 2025 Question Paper (18-Aug-2026) (Shift 1)
The correct answer is

104

First : Second = 2 : 3 = 8 : 12 and Second : Third = 4 : 5 = 12 : 15.

So, First : Second : Third = 8 : 12 : 15; sum of ratio parts = 8 + 12 + 15 = 35.

Value of one part = \(\frac{455}{35}\) = 13.

First number = 8 × 13 = 104.

Hence, the answer is 104.

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Similar Questions

  1. ₹1,964 is divided among Ashish, Lalita and Pranav in such a way that if ₹50, ₹17 and ₹10 are deducted from their respective shares, they have money in the ratio \(20:4:13\). Find Lalita's share.

  2. Three numbers are in the ratio \(\dfrac{4}{8} : \dfrac{11}{16} : \dfrac{18}{21}\). The difference between the largest and the smallest number is 40. Find the largest of the three numbers.

  3. The ratio of men to women in a hall is 5 : 3. If 24 more women join and 12 men leave, the ratio becomes 3 : 2. Find the number of men originally present.

  4. If x, 2.6, 5.2 and 10.4 are in proportion, what is the value of x?

  5. Two numbers are in the ratio 2:3. If 8 is subtracted from each number, the resulting ratio becomes 1:2. What was the original larger number?

  6. In a local club election, the two candidates received votes in the ratio 7 : 5. If the total number of votes cast was 360, how many votes did the winning candidate receive?

  7. The incomes of A and B are in the ratio 5:7 and their expenditures are in the ratio 3:5. If each saves Rs. 4200, what is the income of A?

  8. The ratio of two numbers is 2 : 5. If their sum is 49, find the larger of the two numbers.

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Important Questions from Ratio and Proportion

  1. 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?

  2. 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:

  3. The third proportional to 9 and 15 is:

  4. 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:

  5. 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:

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