Ben is 20 years older than daniel. ben and daniel first met two years ago. three years ago, ben was 3 times as old as daniel.
how old is daniel now?

Daniel=13.

Step-by-step explanation:

We can use the given information to write down two equations that describe the ages of Ben and Daniel.

Let Ben's current age be b and Daniel's current age be d.

The information in the first sentence can be expressed in the following equation:

Three years ago, Ben was b−3 years old, and Daniel was d−3 years old.

The information in the third sentence can be expressed in the following equation:

Now we have two independent equations, and we can solve for our two unknowns.

Because we are looking for d, it might be easiest to use our first equation for b and substitute it into our second equation.

Our first equation is: b=d+20. Substituting this into our second equation, we get the equation:

which combines the information about d from both of our original equations.

Simplifying both sides of this equation, we get: d+17=3d−9.

Solving for dd, we get: 2d=26.

d=13.

geometry: triangles

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lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

can you make your screen more see able?

then i might be able to .