if number of a is equal to 130 number of b is equal to 180 number of a intersection b is equals to 110 then find number of a union b
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Answer :
Let two digit number = x
And sum of its two digits = y
So,
According to first condition we get
3x = y2 ----------------------- ( 1 )
And
from second condition we get
3y = x ----------------------- ( 2 )
Substitute value of x from equation 2 to equation 1 , and get
3 ( 3y ) = y2
9y = y2
y = 9 ( Substitute that value in equation 2 and get )
x = 3 ( 9 )
x = 27
So,
That two digit number = 27 ( Ans )
Let two digit number = x
And sum of its two digits = y
So,
According to first condition we get
3x = y2 ----------------------- ( 1 )
And
from second condition we get
3y = x ----------------------- ( 2 )
Substitute value of x from equation 2 to equation 1 , and get
3 ( 3y ) = y2
9y = y2
y = 9 ( Substitute that value in equation 2 and get )
x = 3 ( 9 )
x = 27
So,
That two digit number = 27 ( Ans )
DonzTanmay:
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