Question:
The ratio of two numbers is 5:8. If 40% of the sum is 104, find the numbers.
The ratio of two numbers is 5:8. If 40% of the sum is 104, find the numbers.
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Convert percentages to decimals to simplify calculations quickly.
Updated On: Apr 23, 2026
- 30, 48
- 40, 64
- 50, 80
- 100, 160
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The Correct Option is D
Solution and Explanation
Concept:
Use ratio and percentage relation.
Step 1: Let numbers be.
\[ 5x { and } 8x \]
Step 2: Sum of numbers.
\[ {Sum} = 13x \]
Step 3: Given condition.
\[ 40% { of sum} = 104 \Rightarrow 0.4 \times 13x = 104 \]
Step 4: Solve.
\[ 5.2x = 104 \Rightarrow x = 20 \]
Step 5: Find numbers.
\[ 5x = 100,\quad 8x = 160 \]
Hence, the numbers are 100 and 160.
Step 1: Let numbers be.
\[ 5x { and } 8x \]
Step 2: Sum of numbers.
\[ {Sum} = 13x \]
Step 3: Given condition.
\[ 40% { of sum} = 104 \Rightarrow 0.4 \times 13x = 104 \]
Step 4: Solve.
\[ 5.2x = 104 \Rightarrow x = 20 \]
Step 5: Find numbers.
\[ 5x = 100,\quad 8x = 160 \]
Hence, the numbers are 100 and 160.
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