Question 982043
.
C=cousin's age; S=Sofia's age=C+7yrs
.
S+4yrs=2(C+4yrs)
S+4yrs=2C+8yrs
S=2C+4yrs Substitute for S
C+7yrs=2C+4yrs
3yrs=C ANSWER 1: Cousin is 3 years old.
.
S=C+7yrs=3yrs+7yrs=10yrs ANSWER 2: Sofia is 10 years old.
.
CHECK:
S+4yrs=2(C+4yrs)
10yrs+4yrs=2(3yrs+4yrs)
14yrs=2(7yrs)
14yrs=14yrs