The product of two numbers in 7. one of the number is 3/2, Find the sum of these two numbers.

Appeared in: RRB Staff Nurse Kolkata-2015

Explanation

The problem requires finding a second number when the product and the first number are known, and then summing the two numbers.
Given one number is 3/2 and the product is 7, the second number is calculated as 7 ÷ (3/2), which equals 14/3.
The sum of the two numbers, 3/2 and 14/3, is found by using a common denominator (6), resulting in (9/6) + (28/6) = 37/6.

Option B: This value does not result from the correct calculation. It may be chosen due to an error in fraction arithmetic.
Option C: This is the product of the two numbers, not their sum. A common error is to confuse the given product with the required sum.
Option D: This value does not have a clear mathematical path from the given information and likely results from a significant calculation error.

Visual 1: Infographic - A step-by-step flowchart showing how to find the second number from a product and then how to add two fractions with different denominators.

Clinical Relevance

Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Solving for the sum of two numbers given their product and one of the numbers as background academic context rather than a clinical decision trigger.
This type of problem tests foundational mathematical skills in handling fractions, which are essential for accuracy in many fields, including dosage calculations in nursing.
Attention to detail is crucial. Misreading 'sum' for 'product' would lead to an incorrect answer (7).
What if? If one of the numbers was 2/3 instead of 3/2, the other number would be 7 ÷ (2/3) = 21/2. The sum would then be 2/3 + 21/2 = 4/6 + 63/6 = 67/6.

How to Approach the Question

First, carefully read the question to identify all the given information and what needs to be found. Given: Product = 7, Number 1 = 3/2. Find: Sum.
Set up an equation to find the unknown second number. Let the numbers be 'a' and 'b'. a * b = 7.
Substitute the known value a = 3/2 into the equation and solve for 'b'. (3/2) * b = 7 -> b = 14/3.
Once both numbers are known (3/2 and 14/3), perform the final calculation required by the question: find their sum.
Add the two fractions: 3/2 + 14/3. Find a common denominator (6) to get 9/6 + 28/6.
The final result is 37/6. Compare this result with the given options. Since it's not present, recognize there might be an error in the options and trust your calculation.

Concept Tested & Keywords

Concept Tested: Solving for the sum of two numbers given their product and one of the numbers.
Stem keywords: product of two numbers, sum of two numbers, fraction
Lead-in keywords: Find
Negative lead-in flag: false

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