To my Grandpa . . . . . Part 2

Algebra Level 2

$10$ years ago, my father was $8$ times my age at that time, and my grandpa was $21$ years more than my father.

The ratio of my present age to my farther's age $10$ years ago is $7:16$ .

What is age of my father + age of my grandpa + my age ?

After solving it, read this

109 119 110 120

1 solution

Sravanth C.
May 11, 2015

Let my age be x, therefore, my father's age $10$ years ago $=8(x-10)$ .

Now, according to the question, $\dfrac{x}{8(x-10)}=\dfrac{7}{16}$

Or, $16x=56x-560$

Or, $40x=560$ I.e, $x=14$

Hence my father's present age $=8(14-10)+10=32+10=42$

Which means, my grandpa's age $=42+21=63$

Therefore, age of my father + age of my grandpa + my age $=63+42+14=119$

Note: All the values of the ages are true real life values.