Question

the sum of two numbers is 72 . if one of the number 6 more than the other , find the number

Answer 1

Let the two numbers be x and y, then;
x+y = 72
x-y = 6

2x = 78
x = 39

y= 72-x
= 72-39
= 33

hence the numbers are 33 & 39.


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Answer 2

Let two numbers be 'x' &'y'.

According to 1st condition,
x+y=72. ...(1)

According to 2nd condition,
x=y+6
x-y=6. ....(2)

Add (1) & (2)
x+y=72
+x-y=6
----------
2x=78
x=78÷2
x=39

Put,x=39 in eqn (1)
39+y=72
y=72-39
=33

Two numbers are 39 and 33.