Question

If 45 is subtracted from twice the grater of two numbers , it results in the other number If 21 is subtracted from twice the smaller ,it results in the grater find the numbers

Answer 1

29 and 37 is the answer of the question

Answer 2

Let smaller number is ( y ) and greater number is ( x )


According to the question :


Case I,

45 is subtracted from 2 the ( x )

=> 2x - 45 = y ----1equation




Case II,


21 is subtracted from 2 times ( y )

2y - 21 = x


Putting the value of ( y ) from 1equation,

=> 2( 2x - 45 ) -21 = x
=> 4x - 90 - 21 = x
=> 4x - x = 111
=> 3x = 111
=> x = 37



Putting the value of ( x ) in 1equation,

=> 2x - 45 = y
=> 2(37) - 45 = y
=> 74 - 45 = y
=> 29 = y





Hence, Numbers are 29 and 37



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