SOLUTION: If the larger of two numbers is four times the smaller and their difference is six, what is the larger number?

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Question 113002This question is from textbook Elementary and Intermediate Algebra
: If the larger of two numbers is four times the smaller and their difference is six, what is the larger number? This question is from textbook Elementary and Intermediate Algebra

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let the larger number is x and the smaller number is y
If the larger of two numbers is four times the smaller and their difference is six, then we have:
x+=+%28x-y%29%2F4
since their difference is x-y+=+6, we have
x+=+6%2F4
or
x+=+1.5

so, the larger number is:1.5
and the smaller number is: x-y+=+6 => x-6+=+y
=> y+=+1.5+-+6+=+-4.5
check:
x+=+%28x-y%29%2F4
1.5+=+%281.5-%28-4.5%29%29%2F4
1.5+=+%281.5%2B4.5%29%2F4
1.5+=+6%2F4
1.5+=+1.5