Question

Find two numbers for which the sum is 101 and the difference is 47

Answer 1

74 and 27

74+27=101
74–27=47

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Answer 2

74 and 27

Explanation:

let x and y be the numbers

x + y =101........eqn 1

x - y = 47.......eqn 2

solve simultaneously

from equation 2, make x the subject

x= 47 + y........eqn 3

put eqn 3 into eqn 1

(47+y) + y = 101

47 + 2y = 101

2y= 101 - 47

2y=54

y= 54/2

y= 27

put y=27 into eqn 3

x = 47 + 27

x = 74