2.5
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Let the smaller number be x.
Given, the larger number is 7 times the smaller number.
So, the larger number = 7x.
Given, 3 times the larger number is 7 more than 4 times the smaller number.
So we can write the equation as,



Now we have to move 4x to the left side by subtracting 4x from both sides.



To get x, we will divide both sides by 17. We will get,


So the smaller number = 
The larger number =
= 
So we have got the required numbers.
Smaller number =
and larger number =
.
Answer:
x = 177/8
Step-by-step explanation:
First, we must get rid of the fraction by multiplying 8 by both sides.
8 · 1/8(8x + 15) = 24 · 8
1(8x + 15) = 192
8x + 15 = 192
Then we simplify. First subtract 15 from both sides.
8x + 15 - 15 = 192 - 15
8x = 177
Then divide 8 from both sides.
8x/8 = 177/8
x = 177/8
Answer:
The difference of squares is (a - b)(a + b) = a² - b². Since a = x and b = 2, the answer is x² - 4.
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