Question 156026
H = Hye's age now
B = Brother's age now

H - 11 = 4(B-11)
H + 1 = 2B
Solve second equation for H:
H = 2B - 1

Substituting for H in first equation:
2B - 1 - 11 = 4(B-11)
2B - 12 = 4B - 44
-12 = 2B - 44
-12 + 44 = 2B
32 = 2B
16 = B

Substituting B=16 in second equation:
H+1 = 2(16)
H+1 = 32
H = 31

Therefore, Hye is now 31 and her brother is 16.