EIS 1115 usual speeuT48. The difference of squares of two numbers is 8

1.	EIS 1115 usual speeuT48. The difference of squares of two numbers is 88. If the larger number is 5 less than twice thesmaller number then find the numbers.
Answer» Let the smallest number be x and largest number be y y²-x²=88....(1)y=2x-5...(2) from(1)(2x-5)²-x²=884x²+25-20x=883x²-20x-63=0(x-9)(3x+7)=0x=9From (2)y=2x-5=2(9)-5=18-5=13

EIS 1115 usual speeuT48. The difference of squares of two numbers is 88. If the larger number is 5 less than twice thesmaller number then find the numbers.

Answer»

Let the smallest number be x and largest number be y

y²-x²=88....(1)y=2x-5...(2)

from(1)(2x-5)²-x²=884x²+25-20x=883x²-20x-63=0(x-9)(3x+7)=0x=9From (2)y=2x-5=2(9)-5=18-5=13