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Ymorist [56]
3 years ago
11

Solve 3a – 8= 5a + 12 Show your work. (please)

Mathematics
1 answer:
amid [387]3 years ago
5 0

Answer:

<em>a = - 10</em>

Step-by-step explanation:

<em>3a – 8 = 5a + 12</em>

<em>3a – 8 + 8 = 5a + 12 + 8</em>

<em>3a = 5a + 20</em>

<em>3a - 5a = 5a + 20 - 5a</em>

<em>- 2a = 20</em>

<em />\dfrac{-2a}{-2}=\dfrac{20}{-2}<em />

<em>a = - 10</em>

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Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

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Or, (9 y ) - (18 y / 7) = 45

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From (Eq. 1),

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So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

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3 years ago
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