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Solve this Ratio and Proportion question: If a:b = 5:7, find (a+b):(a-b).

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This bilingual Ratio and Proportion item asks the learner to solve “Solve this Ratio and Proportion question: If a:b = 5:7, find (a+b):(a-b).” through a complete, auditable ratio-proportion calculation. 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. The validated Ratio and Proportion answer remains 6:1.

ACannot be determined
B12:(-2) = 6:(-1)
C12:2
D6:1
Correct Answer: 6:1Your Answer: D

Explanation

The verified answer to “Solve this Ratio and Proportion question: If a:b = 5:7, find (a+b):(a-b).” is 6:1, option D. The ratio is typically expressed as 6:1 magnitude. This working identifies the relevant ratio-proportion calculation and connects the given information to the required result. The alternatives Cannot be determined, 12:(-2) = 6:(-1) and 12:2 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. 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 6:1 as the result.
  • Question-specific Ratio and Proportion working connects the stated clues or terms directly with 6:1 as the result.
  • Options Cannot be determined, 12:(-2) = 6:(-1), 12:2 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 6:1 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: If a:b = 5:7, find (a+b):(a-b).”?

6:1, option D.

Which method solves this Ratio and Proportion item?

Rebuild and verify the complete ratio-proportion calculation.

Why are the other options incorrect?

Cannot be determined, 12:(-2) = 6:(-1), 12:2 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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