Three times Alley's age plus twelve is equal to Sonya's age.
Two times Alley's age plus four times Sonya's age is 188. How old is Sonya? a = Alley's age {three times Alley's age plus twelve equals Sonya's age}3a + 12 = Sonya's age 2a + 4(3a + 12) = 188 {two times Alley's age plus four times Sonya's age is 188} 2a + 12a + 48 = 188 {used distributive property} 14a + 48 = 188 {combined like terms} 14a = 140 {subtracted 48 from each side} a = 10 {divided each side by 14} 3a + 12 = 42 {substituted 10, in for a, into 3a + 12} Sonya is 42Ask the House
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