SOLUTION: translate the given verbal expression into algebraic expression. 1. In two consecutive integers, the sum of three fifths the first and one fourth the second is 13.

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Question 1190704: translate the given verbal expression into algebraic expression.
1. In two consecutive integers, the sum of three fifths the first and one fourth the second is 13.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Just literally follow what the description says, exactly.

----------EXACTLY the given sentence, with the two integers being n and n+1.
Answer by ikleyn(52786)   (Show Source): You can put this solution on YOUR website!
.

The literal translation is

     +  = 13.



When translate in this way, you must check if it makes sense:

you should check that such integer number n does really exist.



For it, solve equation

     +  = 13.


Multiply both sides by 4*5 = 20

    12n + 5(n+1) = 13*20

    12n + 5n = 260 - 5

       17n   =    255

         n   =     255/17 = 15.


You get this integer number n= 15, and it confirms that the translation does make sense.

Solved.



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