Step-by-step explanation:
r = age of rani
f = age of her father
r + f = 43
r = 43 - f
in 6 years both r and f with be increased by 6.
and so
f + 6 = 4(r + 6) = 4r + 24
f - 18 = 4r
and now we use the transformed first equation (r = 43 - f) in the second equation
f - 18 = 4(43 - f) = 172 - 4f
5f - 18 = 172
5f = 190
f = 190/5 = 38
r = 43 - f = 43 - 38 = 5
rani is currently 5 years old.
her father is currently 38 years old.
