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Algebra Help With Word Problems

algebra help with word problems
Please help with Algebra II word problems?

Help please: The sum of two numbers is ninety-one. If the larger number is divided by the smaller number, then the quotient is fourteen and the remainder is one. Find the numbers.

Let x be one number and y the other and x>y
x+y=91 (1)
x=14y+1 by the division
so (1) becomes 14y+1+y=91
15y=91-1
y=90/15
y=6 so from (1) it’s
x+6=91
x=85.

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