Question

The difference between two numbers is 18,500. Find the greater number, if the smaller number is 92,057

Answer 1

Answer:

The greater no. is 110557

Step-by-step explanation:

For detailed explanation refer to the image attached.

Answer 2

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This is fairly straightforward algebra.

You have stated that the difference between them is 25. That means that

X - Y = 25

Where x is the larger, and Y the smaller number.

You have also stated that Y(Smaller) is 1/6 of X(larger). Or

Y = (1/6)X

Or simplified by multiplying both sides by 6

X = 6Y

Going back to our other equation of relationships we can plug that in to go back to one value we are solving for.

6Y - Y = 25

Subtract the Y

5Y = 25

And divide both sides by 5 to simplify.

Y = 5

Now we have a value for the smaller number! Now all that's left is to figure out the larger. We know that

X = 6 * Y

And we know that Y is 5

X = 6 * 5

So doing the multiplication leads us to

X = 30

So the larger number is 30 and the smaller is 5. But let's double check our work with the to relationships mentioned between them.

X - Y = 25

Putting in our solved values

30 - 5 = 25

That one checks out! One to go.

Y = 1/6X

Again putting in our values

5 = 1/6(30)

Or 6*5 = 1/6*30*6

Or 30 = 30