The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers ?

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Q. The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers ?


Solution:
⇒Let the larger number = x
⇒Given, Square of smaller number = 8x
A/Q
        The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers ?
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers ?
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers ?
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers ?
The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers ?
Hence , larger number = 18
Square of  Smaller number = 8 x 18 = 144
Smaller number = √144
                              = 12

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