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the sum is 49 . one number is 5 more than the other . what are the two number?

Sagot :

let x be the number
    y be the other number
y = 5 + x  ---equation 1
x + y = 49 ---equation 2
substitute eqn 1 to 2
x + y = 49  
x + (5 + x) = 49 
2x + 5 = 49 
2x = 49 - 5
2x = 44
x = 22

substitute to equation 2
x + y = 49
22 + y = 49
y = 49 - 22
y = 27
49 = N + N
the two numbers are 27 and 22
Solution:
y = 5 + x  ---  equation 1
x + y = 49 --- equation 2


substitute eqn 1 to 2
x + y = 49  
x + (5 + x) = 49 
2x + 5 = 49 
2x = 49 - 5
2x = 44
x = 22


substitute to equation 2
x + y = 49
22 + y = 49
y = 49 - 22 --- answer
y = 27
--- other one answer