Problema Solution

grace is 12years older than her little brother.if the sum of their ages 3 years ago was 48,how old is grace and his brother now?

Answer provided by our tutors

let


g = the age of grace now

b = the age of her brother now


grace is 12 years older than her little brother


g = 12 + b


the sum of their ages 3 years ago was 48


g - 3 + b - 3 = 48


g + b - 6 = 48


g + b = 48 + 6


g + b = 54


by solving the system of equations


g = 12 + b

g + b = 54


we find


g = 33 years


b = 21 years


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grace is 33 years old now.

her brother is 21 years old now.