Answer:
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