plz solve this eqution ...
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27jenny:
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hope it helps jenny di
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Here is your solution :
Let the numbers are x and y.
Where, x > y.
A/Q,
=> 2x = 2y + 18
=> 2x - 2y = 18
=> 2( x - y ) = 18
=> ( x - y ) = 18 ÷ 2
=> ( x - y ) = 9
=> x = ( 9 + y ) --------- ( 1 )
And,
=> ( x / 5 ) + ( y / 3 ) = 21
=> ( 3x + 5y ) / 15 = 21
=> ( 3x + 5y ) = 21 × 15
=> ( 3x + 5y ) = 315
=> 3x = 315 - 5y
=> 3x = 5( 63 - y )
•°• x = [ 5( 63 - y ) ] / 3 ------------ ( 2 )
From ( 1 ) and ( 2 ) we get,
=> ( 9 + y ) = [ 5( 63 - y ) ] / 3
=> 3( 9 + y ) = 315 - 5y
=> 27 + 3y = 315 - 5y
=> 5y + 3y = 315 - 27
=> 8y = 288
=> y = 288 ÷ 8
•°• y = 36
Substitute the value of y in ( 1 ),
=> x = ( 9 + y )
=> x = 9 + 36
•°• x = 45
Hence, the numbers are ( 45,36 ).
Option b.) ( 45,36 ).
Let the numbers are x and y.
Where, x > y.
A/Q,
=> 2x = 2y + 18
=> 2x - 2y = 18
=> 2( x - y ) = 18
=> ( x - y ) = 18 ÷ 2
=> ( x - y ) = 9
=> x = ( 9 + y ) --------- ( 1 )
And,
=> ( x / 5 ) + ( y / 3 ) = 21
=> ( 3x + 5y ) / 15 = 21
=> ( 3x + 5y ) = 21 × 15
=> ( 3x + 5y ) = 315
=> 3x = 315 - 5y
=> 3x = 5( 63 - y )
•°• x = [ 5( 63 - y ) ] / 3 ------------ ( 2 )
From ( 1 ) and ( 2 ) we get,
=> ( 9 + y ) = [ 5( 63 - y ) ] / 3
=> 3( 9 + y ) = 315 - 5y
=> 27 + 3y = 315 - 5y
=> 5y + 3y = 315 - 27
=> 8y = 288
=> y = 288 ÷ 8
•°• y = 36
Substitute the value of y in ( 1 ),
=> x = ( 9 + y )
=> x = 9 + 36
•°• x = 45
Hence, the numbers are ( 45,36 ).
Option b.) ( 45,36 ).
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