Question

Divide 350 in such a part that the half of the greater number exceeds the smaller by 100.

Answer 1

HEY BUDDY..!!!

HERE'S THE ANSWER..

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♠️Let the great number be ( x )

♠️Let the smaller number be ( y )


▶️ 350 is divided into 2 parts , x and y , i.e

✔️ x + y = 350___________( 1 )

▶️half of great number exceeds the smaller number by 100 , i.e

✔️ x / 2 = y + 100

=> x = 2 × ( y + 100 )

=> x = 2 y + 200

=> x - 2y = 200_____________( 2 )


⏺️ From Eqn ( 1 )

=> x + y = 350

=> x = 350 - y

▶️ Now putting value of x in eqn ( 2 )

=> x - 2y = 200

=> 350 - y - 2 y = 200

=> - 3 y = 200 - 350

=> - 3 y = - 150

=> [ y = 50 ]✔️✔️

⏺️ Now putting value of y in Eqn ( 1 )

=> x + y = 350

=> x = 350 - y

=> x = 350 - 50

=> [ x = 300 ]✔️✔️


♠️ Great number is 300 and smaller number is 50.


HOPE HELPED..

JAI HIND..

:-)

Answer 2

x + y = 350 ......1

x - 2y = 200......2



y = 50



x = 300