The sum of two numbers is 61 . The larger number is 5 more than the smaller number. What are the numbers?
1 answer:
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Step-by-step explanation:
Well in general, we can represent subtraction as:
"z" represents the difference, and it really just represents x with y taken away. So if we were to "give back" this y value, we should get "x".
This means that:
So one way to check, is adding the value that's being subtracted (y value) and the difference (z value), this should get you the value that is being subtracted from (x value). If you don't get the original value that's being subtracted from (x-value) then you know the answer you got is wrong.
Answer: 18
Step-by-step explanation: Well <u><em>percent</em></u> means <em>over 100</em> so we can set up an equation for this problem by reading it from left to right.
<em>What</em> means <em>x</em>, <em>is</em> means <em>equals</em>, <em>30%</em> is <em>30/100</em>, <em>of</em> means <em>times</em> <em>250</em>.
Simplifying on the right side of the equation,
notice that 30/100 reduces to 3/10.
So we have x = 3/10 · 60. Think of the 60 as 60/1 so we can cross-cancel the 60 and 10 to 6 and 1 and we have x = or <em>x = 18</em>.
Now let's check our answer back in the original problem to see if it makes sense. We have <em>18 is 30% of 60</em>.
Well we know that 100% of 60 would be 60 so 30% of 60 should be alot less than 60 so 18 seems to make sense as a pretty good answer.
