haleyvaughno1
haleyvaughno1 haleyvaughno1
  • 23-04-2018
  • Mathematics
contestada

The sum of two numbers is 53 and the difference is 11. What are the numbers?
larger number
smaller number

Respuesta :

Erudite1
Erudite1 Erudite1
  • 23-04-2018
Let assume that the the two numbers are X and Y and that X is the large number.
According to the question, 
X + Y = 53 .................. Equation 1
then,  X = 11 + Y........... Equation 2
Substitute equation 2 into equation 1.
[11 + Y] + Y = 53
11 + 2Y = 53
2Y = 53 - 11 = 42
2Y = 42
Y = 42 / 2 = 21,
Therefore, Y = 21 [Small number].
According to equation 1, 
X +Y = 53
X + 21 = 53
X = 53 - 21 = 32.
Therefore, X = 32 [Big number].



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