1.

Two numbers are is the ratio 6:7. If the difference of their squares is 117 find the two numbers.

Answer»

Let the two numbers are 6x and 7x

i.e., (7x)2 – (6x)2= 117 

49x2 – 36x2= 117 

13x2 = 117 

⇒ x = 3 

∴ The numbers are 3(6) and 3(7) = 18 and 21.



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