the number of two digits below 50. the sum of the two digits is 13. the product of the digits is 36 then what would be the number?
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Question:- The number of two digits below 50. the sum of the two digits is 13. the product of the digits is 36 then what would be the number?
Solution:- Let numbers be 'x' and 'y'.
=>xy=36
=>x+y=13
=>x=13-y
We get quadratic equation:-
=>(13-y)y=36
=>y^2-13y+36
we get 4,9 as roots.
=>x=4 then y is 9 below 50.
49 is the number.
=> x=9
and y=4
So, 94 is rejected as it is more than 50.
Solution:- Let numbers be 'x' and 'y'.
=>xy=36
=>x+y=13
=>x=13-y
We get quadratic equation:-
=>(13-y)y=36
=>y^2-13y+36
we get 4,9 as roots.
=>x=4 then y is 9 below 50.
49 is the number.
=> x=9
and y=4
So, 94 is rejected as it is more than 50.
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