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the sum of two numbers is 92. their difference is 20. find the 2 numbers

Sagot :

Ohnoorimidn
x+y =92
x -y =20
------------ (subtract the y)
2x= 112
/2     /2
x=56
56+y=92 (substitute x with 56)
-56     -56
y=36

x = 56    and     y = 36
Fichohidn

The two numbers in question obtained by creating a system of equations are 56 and 36

Let the two numbers be : a and b

  • a + b = 92 ___(1)
  • a - b = 20.___(2)

From (2):

  • a = 20 + b. ____(3)

Substitute (3) into (1)

a + b = 92

20 + b + b = 92

20 + 2b = 92

2b = 92 - 20

2b = 72

b = 72/2

b = 36

From (3) :

a = 20 + 36

a = 56

Therefore, the two numbers are 56 and 36

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