Question

y= 19-11 = 8
Length = 11 m, Breadth = 8 m
6. The difference of two numbers is 8
and the difference of their squares
is 208. Find the numbers. (3)
Let the numbers be x and y.
X-y = 8 .... (1)
x2 - y2 = 208. (x + y) x - y) = 208​

Answer 1

Answer: x=17

               y=9

Step-by-step explanation:

let: x>y

given:

x-y=8... (1)

x^2 -y^2 =208... (2)

therefore,

(x+y).(x-y)=208

(x+y)=(208/8)... (3)

adding (1) and (3)

2x=34

x=17... (4)

substitute (4)  in (1)

y= 17-8

y=9... (5)

FROM (4) and (5)

HENCE, the two required numbers are : 17,9

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