Question

Two numbers are in the ratio 3:4 The difference
job
between the squares is 28 then find the greater
number​

Answer 1

Let x be a common factor between the numbers.

So, numbers are 3x and 4x.

Difference of their squares is 28.

( 4x )² - ( 3x )² = 28

16x² - 9x² = 28

7x² = 28

x² = 4

x = 2 and -2

So, numbers can be

3x = 6 or -6

4x = 8 or -8

The greatest number is 8.

Thank you.

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