Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as Daniel. How old is Daniel now?

1 answer:

7 0

Kevin is 6 and Daniel is 3 now (i.e., K is 3 years older than D)
2 years ago K was 4 and D was 1 (i.e., K was 4 times as old as D)

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<h3>Further explanation</h3>

There are several forms of transformation, including translation, dilation, rotation or reflection

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Similar figures:

the same shape but different in size,

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the same size and the same shape

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A sequence of two transformations e can do is :

1. rotation -90°

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$\left[\begin{array}{ccc}x'\\y'\end{array}\right]=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}4-6\\1+1\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}0&1\\-1&0\end{array}\right]\left[\begin{array}{ccc}-2\\2\end{array}\right]+\left[\begin{array}{ccc}6\\-1\end{array}\right]\\\\=\left[\begin{array}{ccc}8\\1\end{array}\right]$