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

Answer:

Step-by-step explanation:

x = 26

y = 70

n = 56

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

Answer 2

Answer:

$y$ represents  $70\%$ of $(n+y-x)$

Step-by-step explanation:

We know that

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

Solving these expression we have

$x=\frac{25}{100} 104=26\\7=\frac{10}{100}y \iff y=\frac{7(100)}{10}=70\\ n=\frac{80}{100}y=\frac{4}{5}(70)=56$

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

$\frac{y}{n+y-x}=\frac{70}{100}=0.70 (or \ 70\%)$

Therefore,

$y$ represents  $70\%$ of $(n+y-x)$