Question

the difference of squares of two numbers is 204 .the square of the smaller number is 4 less than 10 times the larger number. find the two numbers.​

Answer 1

*Please mark as brainlisit*

Answer 2

Answer:

x = 20, x = –10 (rejected) 1/2

y = 14

Step-by-step explanation:

Let the numbers are x and (x > y)

x2

– y2 = 204 …(i) 1

y2 = 10x – 4 …(ii) 1

By (i) and (ii)

x2 – 10x + 4 – 204 = 0

x2 – 10x + 200 = 0

(x – 20) (x + 10) = 0

x = 20, x = –10 (rejected)

y = 14