Question 186080
Let {{{a}}}= Anji's age
Let {{{c}}}= Carol's age
given:
(1) {{{a + c = 66}}}
(2) {{{c = 3a + 2}}}
Subtract {{{3a}}} from both sides of (2)
(2) {{{-3a + c = 2}}}
Subtract (2) from (1)
(1) {{{a + c = 66}}}
(2) {{{-(-3a) - c = -2}}}
(3) {{{4a = 64}}}
(3) {{{a = 16}}}
and, since
(1) {{{a + c = 66}}}
(1) {{{16 + c = 66}}}
(1) {{{c = 50}}}
Anji's age is 16, and Carol's age is 50
check:
(2) {{{c = 3a + 2}}}
(2) {{{50 = 3*16 + 2}}}
(2) {{{50 = 48 + 2}}}
(2) {{{50 = 50}}}
OK