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Anuta_ua [19.1K]
3 years ago
8

one positive number is 12 times another positive number. The difference between the two numbers is 143

Mathematics
2 answers:
stich3 [128]3 years ago
8 0
Let x is one positive number
<span>One positive number is 12 times another positive number 12x
</span>12x - x = 143
11x = 143
x = 143/11
x = 13

12x = 12(13) = 156

answer: 2 numbers are 13 and 156

double check:

<span>difference between the two numbers is 143
</span>156 - 13 = 143 


Natali [406]3 years ago
5 0
Let x be the unknown number and let's set up an equation.
12x - x = 143
Now solve for x:
11x = 143
x = 13
The positive number is 13.
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Explanation:

Given that the expression \sqrt{648}=\sqrt{2^a\times3^b}

We need to determine the value of a and b

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Thus, we have,

648 divides by 2,

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324 divides by 2,

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162 divides by 2,

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27 divides by 3,

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9 divides by 3,

648=2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3 \cdot 3

Thus, we have,

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Therefore, equating the powers of 2 and 3, we get,

a=3, b=4

Hence, the value of a and b is 3 and 4

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