Question

There were n signers of the Declaration of Independence. The youngest was Edward Rutledge, who was x years old. The oldest was Benjamin Franklin, who was y years old.

x is 25% of 104, 7 is 10% of y, and n is 80% of y. y is what percent of (n+y−x)?

Answer 1

Explanation:

x = 26

y = 70

n = 56

res = 56+70-26 = 30+70 =100

Answer 2

`y` represents
`70\%` of
`(n+y-x)`

Explanation:

We know that

`x=25\%(104)\\7=10\%y\\n=80\%y`

Solving these expression we have

`x=(25)/(100) 104=26\\7=(10)/(100)y \iff y=(7(100))/(10)=70\\ n=(80)/(100)y=(4)/(5)(70)=56`

Now, replacing these values in the given expression

`(n+y-x)=56+70-26=100`

Then, to know what percentage of
`(n+y-x)` is
`y`, we have to divide them

`(y)/(n+y-x)=(70)/(100)=0.70 (or \ 70\%)`

Therefore,

`y` represents
`70\%` of
`(n+y-x)`