SOLUTION: the difference of squares of two numbers is 88.If the larger number is 5 less than twicw the smaller one ,then find the two nubers?

Question 613980: the difference of squares of two numbers is 88.If the larger number is 5 less than twicw the smaller one ,then find the two nubers?

Answer by mathslover(157) (Show Source): You can put this solution on YOUR website!
Let the smaller number be x
Now the larger number = 5 less thann 2 times the smaller number
= 2x -5
Difference of the sqaures of the 2 numbers is 88
=88
=>=88
=>=0 Grouping the common terms together
=>
=>
=>
=>and
=>and
=>
Therefore the smaller number is 9 and the bigger number is 2*9-5= 13
Ignoring the negative -7/3 as 2 times this number - 5 that is (-14/3 -5 =-29/5),gives a smaller number and not a larger number as in the problem statement
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