Hello there!
Let's firstly rewrite these facts as an equation.
Ryan is 69 years younger than Sophia.
R + 69 = S
4 years ago, Sophia's age was four times Ryan's age.
4(R - 4) = S - 4
Solving these two equations,
4(R - 4) = (R + 69) - 4
4R - 16 = R + 69 - 4
3R = 69 - 4 + 16
3R = 81
R = 27
S = R + 69
S = 27 + 69
S = 96
Thus, Ryan is 27, and Sophia is 96.
ALWAYS CHECK YOUR ANSWER! (Sorry, just emphasising hahaha)
Is Sophia 69 years older than Ryan?
96 - 27 = 69 (correct)
4 years ago, would Sophia have been 4 times Ryan's age?
92 = 4 x 23
92 = 92 (correct)
Therefore, the statement above is true.
I hope this helped! :)
