Question

Two numbers are in the ratio 2 : 3 and the differences of their squares is 320.
find the numbers

दो संख्याओं का अनुपात 2 : 3 है। उनके वर्गों का अन्तर 320 है। संख्याओं का मान ज्ञात कीजिए।
Find the numbers.​

Answer 1

Answer:

The difference is 5⅞ⁿ²

Explanation:

2:3 =

2=6ⁿ

3=⅝ⁿ²

6ⁿ x ⅝ⁿ²

=5⅞ⁿ²

Step-by-step explanation:

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Answer 2

Answer :

• The numbers are 16 and 24

Given :

• Two numbers are in the ratio is 2:3
• The differences of their squares is 320

To find :

• The numbers

Solution :

• Let the two ratio numbers be 2x and 3x

Now ,

• Square of 2x = 2x² = 4x²
• Square of 3x = 3x² = 9x²

Given that ,

• The differences of their squares is 320 so ,

Now Equation,

》 9x² - 6x² = 320

》 5x² = 320

》x² = 320/5

》x² = 64

》x = √64

》x = 8

Now , To find the numbers ,

• Fiirst number = 2x = 2 × 8 = 16
• Second number = 3x = 3 × 8 = 24

Hence The numbers are 16 and 24