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easyQ. No. 14592-solve-this-ratio-and-proportion-question-the-ratio-of-two-numbers-is-3-4-if-their-sum-is-70-what

Solve this Ratio and Proportion question: The ratio of two numbers is 3:4. If their sum is 70, what are the numbers?

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This bilingual Ratio and Proportion item asks the learner to solve “Solve this Ratio and Proportion question: The ratio of two numbers is 3:4. If their sum is 70, what are the numbers?” through a complete, auditable ratio-proportion calculation. The validated answer is 30 and 40. The explanation preserves the original question-specific working, reconstructs the governing rule, checks every relevant condition or transition, and compares all three distractors. It builds disciplined reasoning, accurate option elimination and exam-ready verification for SSC, Railway, Banking, Defence, State examinations and other competitive tests.

A28 and 42
B30 and 40
C21 and 49
D35 and 35
Correct Answer: 30 and 40Your Answer: B

Explanation

The verified answer to “Solve this Ratio and Proportion question: The ratio of two numbers is 3:4. If their sum is 70, what are the numbers?” is 30 and 40, option B. Numbers are 30 and 40. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. After applying the verified rule, the required value or position is 30 and 40. The alternatives 28 and 42, 21 and 49 and 35 and 35 fail because each breaks at least one stated condition, transition, direction or arithmetic step. A plausible-looking option is not sufficient unless it reproduces the complete ratio-proportion calculation. This full replay leads only to 30 and 40, so option B is uniquely correct. The method is transparent, question-specific and suitable for SSC, Railway, Banking, Defence, State and other competitive examinations.

Important Notes

  • Rebuild the complete Ratio and Proportion ratio-proportion calculation before selecting 30 and 40 as the result.
  • Question-specific Ratio and Proportion working connects the stated clues or terms directly with 30 and 40 as the result.
  • Options 28 and 42, 21 and 49, 35 and 35 each break a condition or transition in this Ratio and Proportion item.
  • Replay every step in the Ratio and Proportion ratio-proportion calculation to independently confirm 30 and 40 as the result.

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FAQ

Ratio and Proportion FAQs

Common questions and clear answers for this topic.

What is the verified answer to “Solve this Ratio and Proportion question: The ratio of two numbers is 3:4. If their sum is 70, what are the numbers?”?

30 and 40, option B.

Which method solves this Ratio and Proportion item?

Rebuild and verify the complete ratio-proportion calculation.

Why are the other options incorrect?

28 and 42, 21 and 49, 35 and 35 break a clue, direction, transition or operation.

How should the answer be checked?

Replay the rule from the first clue or term and test every intermediate step.

What is Ratio and Proportion and how are they used in competitive exams?

Ratio is the comparison of two quantities by division: a:b = a/b. Proportion is an equation stating two ratios are equal: a:b = c:d. Key concepts: Compounded Ratio, Duplicate Ratio a squared:b squared. Ratio and Proportion questions appear in SSC CGL, IBPS, CAT, and Railways as mixture problems, partnership problems, age problems, and direct/inverse proportion questions.

What are the properties of Proportion?

Properties of Proportion (a:b = c:d): Product of Means = Product of Extremes (ad = bc). Componendo: (a+b):b = (c+d):d. Dividendo: (a-b):b = (c-d):d. Componendo-Dividendo: (a+b):(a-b) = (c+d):(c-d). If a/b = c/d = e/f, then each ratio equals (a+c+e)/(b+d+f). Mean Proportional of a and b equals root(ab). These properties are essential for solving complex proportion problems.

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