Question

The difference between squares of two numbers is 120. The square of small
twice the greater number. Find the numbers.
​

Answer 1

answer: smaller no. is √24 or √-24 and greater no. is 12 . explanation: let greater no.be X . as per condition square of smaller no. = 2x. square of greater no. - square of smaller no. =120 x2 - 2x =120 ; x2 + 10x - 12x -120= 0 ; x (x+10) -12(x +10) =0 ; (x+10)(x-12)=0 ; X= -10 or x = 12 ; as number cannot be negative x= 12 smaller no.= √24 or √- 24