Question

The difference between two numbers is 9 and the difference between their squares is 207. the numbers are

Answer 1

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let no. are x and y
given that ...
x - y = 9 -----eq1
x2 - y2 =207
then ....
according to the question
x2 - y2 =207
(x +y) (x -y) = 207
( x+ y) 9 =207
(x + y)= 207/9
x + y = 29 -----eq2
now.....
add both eqns
then we get
2x = 38
x = 19
so....
y = 10
hence no are
10 and 19
it is answer
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