Question

a fraction is added to 1 upon 3 we get 3/7 find the fraction

Answer 1

Let the fraction be x / y
Now, according to ques.

x / y +1 = 1 / 2

On cross multiplying we get,
2x = y + 1
2x - y = 1 ---------------------  1

and,

x + 1 / y = 1 
On cross multiplying again, we get, 
x + 1 = y 
x - y = - 1 ----------------------- 2



From 1 and 2, we get,

2x - y = 1
x   - y = - 1

by subtracting these two, we get,

x = 2 ------- 3

Now, by putting 3 in 1, we get,

2 (2) - y = 1
4 - y = 1
- y = 1 - 4 
- y = - 3
y = 3

As we know, the fraction was = x / y
                                               = 2 / 3 

Answer 2

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