Puzzle:

If

\(a + b = 76\)

and

\(a - b = 38\),

then

\(\frac{a}{b} = ?\)

+\left\{\begin{array}{ccc}a+b=76\\a-b=38\end{array}\right\\-----------\\.\ \ \ \ \ \ \ 2a=114\ \ \ \ \ |:2\\.\ \ \ \ \ \ \ \ \ \ a=57\\\\57+b=76\\b=76-57\\b=19\\\\\frac{a}{b}=\frac{57}{19}=\fbox{3}

Answered by Anonymous | 2024-06-10

First we need to calculate how much is a and b, from the first and second equations, and then we take care of each other: a + b = 76 a - b = 38 a / b = ?
{ a + b = 76 a − b = 38 ​ ∣ + a + a + b − b = 76 + 38 2 a = 114∣ : 2
a = 57 a + b = 76 57 + b = 76 b = 76 − 57 = 19
b a ​ = 19 57 ​ = 3

Answered by MattD | 2024-06-10

To find b a ​ , we use the equations a + b = 76 and a − b = 38 to find that a = 57 and b = 19 . This gives us the ratio b a ​ = 19 57 ​ , which simplifies to approximately 3. Thus, the answer is 3.
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Answered by Anonymous | 2024-12-04