My great grand mom (my mom's mom's mom) age is 19 times my younger brother's age. if my age is 1 less than 3 times my younger brother's age and my mom's age is 30 less than 5 times my age and my mom is 26 years elder to me, then find my great grand mom's age.
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Let my brother's age = x
great grandmother's age = 19x
my age = 3x-1
mother's age = 5(3x-1)-30
mother's age = my age + 26
5(3x-1)-30 = 3x-1+26
15x-5-30 = 3x+25
12x = 60
x = 5
substitute the value of x to the representation of great grandmother's age, we have
19x = 19(5) = 95