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Alona [7]
3 years ago
12

The sum of two numbers is 57 and the difference is 13 what are the numbers

Mathematics
2 answers:
Sergio [31]3 years ago
6 0
Guess and Check!
N1=Number 1
N2=Number 2

n1 + n2 = 57

<span>n1 - n2 = 13</span>

<span>2n2 = 70</span>

n2 = 35

n1 = 57 - 35 = 22

<span> 22 and 35=number</span>

Rainbow [258]3 years ago
5 0
Let the numbers be x and y

x  + y  =  57          ........(i)
x  -  y  =  13          ........(ii)

Add equations (i) and (ii)  to eliminate y

x  + y  + x  -  y   =  57 + 13
x + x  + y - y =   57 +13
2x  =     70
x  =  70/2 = 35

From (i)  x  + y  =  57
              35 + y = 57
                      y = 57 - 35
                      y  =   22

The numbers are 35 and 22.
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