If to my age there added be, one-half, one-third (of it) and 3 times 3, Six score and 10 the sum you would see. Now pray tell me what age I be?

Question

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Answer 1

Ye be 66, and here be why:

 

Start at the end. A "score" is 20, so six score plus 10 = 130.

 

From 130, subtract "3 times 3."  130 - 9 = 121

 

Your age, plus half that age, plus a third that age, is 121

 

a + 1/2a + 1/3a = 121

 

Get rid of the fractions by multiplying the whole equation by their common denominator of 6:

 

6a + 3a + 2a = 726, or, 11a = 726

 

divide by 11 to get a = 66

 

half of 66 is 33

1/3 of 66 is 22

3 x 3 is 9

 

66 + 33 + 22 + 9 = 130, which = "6 score and 10."

 

So ye'd be 66, lad!

 

Hope this helps!

 

Matt

Answer 2

If I read what you have written correctly then you could do it this way....

A score is 20 years

 

let x equal your age

1/2x+1/3x+x/1+9/1=6(20)+10=120+10=130

find the greatest common factor which is 6

 

1/2x+1/3x+x/1+9/1

 

3x+2x+6x+54                  130

=============   =    ===

             6                           1

 

11x/6+54=780

11x=780-54

11x=726...divide both sides by 11

 

x=66

 

1/2x=33

1/3x=22