find the age

Algebra Level pending

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.


The answer is 95.

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3 solutions

Lorelie Galvez
Mar 25, 2014

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

Archiet Dev
Mar 24, 2014

Let The age of my bro = x

Then my age = ( 3x - 1)

Then My Mother's Age = 5(3x - 1) - 30

                                            15x - 35

Also given,My mother is 26 years older than Me.

A/Q

 15x - 35 = 3x - 1 + 26

    15x - 3x = 25 + 35

     12x=60

      x= 5

So,My brother's age will be x or 5 years

Stated in question that Mom's mo. ..age is 19x

                                                              SO,19 * 5 = 95

Then,My great grand mom (my mom's mom's mom) age is 95 years

Ashu Dablo
Mar 24, 2014

let my age be x, then mom's age will be 5x-30. 5x-56=x, so x =14 so i am 14 yrs old. my bro = (14+1)/3 = 5 yrs old. so my great grand mom= 5*19= 95 yrs old. We are done :)

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