S varies directly as (R+7), and S=42 when R=17. What is the value of S when R=29?

Since S varies directly as (R+7), we can write:
S=k(R+7)
where k is a constant of variation.

Given that S=42 when R=17:

42=k(17+7)
42=k(24)
k=
24
42
​
=
4
7
​

Now, we need to find S when R=29:

S=
4
7
​
×(29+7)
S=
4
7
​
×36
S=7×9=63
Therefore, the value of S is 63.