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The sum of two numbers is 56 and one number is 9 less than the other.find the numbers.
what is the equation?

Sagot :

eq. 1 x+y=56
eq. 2 x= y-9

expressing y in terms of equation 1
y-9+y=56
2y-9=56
2y=56+9
2y=65
y=65/2
y= 32.5

substituting y in terms of equation 2 to find x
x = y-9
x = 32.5-9
x = 23.5

56 - 9 = 47
47 ÷ 2 = 23.5
23.5 + 9 = 32.5
32.5 + 23.5 = 56

The numbers are 32.5 and 23.5.