Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height doubled. If Keith is now 34cm taller than his nephew, what is their total current height?

311.6 cm

Step-by-step explanation:

To solve this problem, let's call:

k = Keith's height

n = nephew's height

Since the ratio is 15:7, we have

(1)

Then, Keith's height is increased by 16%, so the new height of Keith is

 (2)

While the nephew's height is doubled:

(3)

We also know that Keith is now 34 cm taller than his nephew, so

(4)

Substituting (2) and (3) into (4), we get

And substituting (1),

Solving for n,

So the current height of the nephew is:

While Keith's current height is

So their total current height is

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step-by-step explanation: