The product of 2 no. is 18.75. If one no. is thrice of another. Find the larger no.
The Correct Answer and Explanation is:
Correct Answer: The larger number is 6.5.
Explanation:
We are given that:
- The product of two numbers is 18.75.
- One number is three times the other.
Let the smaller number be x.
Then the larger number, being three times the smaller, is 3x.
According to the problem:
x × 3x = 18.75
Simplify the equation:
3x² = 18.75
Now, divide both sides of the equation by 3:
x² = 18.75 ÷ 3
x² = 6.25
Now take the square root of both sides:
x = √6.25
x = 2.5
So the smaller number is 2.5.
To find the larger number, multiply by 3:
3 × 2.5 = 7.5
Wait — we just found 7.5, which seems to contradict the earlier “correct answer” of 6.5. Let’s double-check the math.
Back to the equation:
Suppose one number is x, the other is 3x, and the product is 18.75.
x × 3x = 18.75
3x² = 18.75
x² = 6.25
x = 2.5
3x = 7.5
So, the larger number is 7.5, not 6.5.
Final Correction:
Correct Answer: The larger number is 7.5
Final Explanation:
Let one number be x.
Then the other number is 3x.
Their product is:
x × 3x = 3x² = 18.75
Divide both sides by 3:
x² = 6.25
x = 2.5
So the smaller number is 2.5, and the larger number is:
3 × 2.5 = 7.5
Always double-check your solution by multiplying the two numbers:
2.5 × 7.5 = 18.75 ✅
Therefore, the correct larger number is 7.5.
