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The product of two positive numbers is 11520 and their quotient is 9/5 . Find the difference of two numbers.
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- 60
- 64
- 74
- 70
Correct Option: B
Let us assume the two numbers are P and Q.
According to question,
∴ PQ = 11520
| and | = | ||
| Q | 5 |
Now multiply the above two equation, we will get
| ∴ PQ × | = 11520 × | ||
| Q | 5 |
⇒ P2 = 2304 × 9
⇒ P = √2304 × 9
⇒ P = 48 × 3 = 144
| We know from the given above Equation | = | ||
| Q | 5 |
| Q = | = 80 | |
| 9 |
∴ Required difference = P - Q = 144 – 80 = 64
