Question

At present Ali's present age is 1/4th of its father's age.After 10 years their ages will add to 60 years. What is Ali's present age?​

Answer 1

Step-by-step explanation:

Let father's age be x

then Ali's age be 1/4*x

After 10yrs;

father's age will be 10x

& Ali's age will be 10*1/4*x=5/2x

from given condition;

10x+5/2x=60

x(10+5/2)=60

x*15/2=60

x=60*2/15

x=8

1/4x is Ali's present age

1/4*8=2yrs

Answer 2

Given :

Present age of ali is 1/4th of his father's age.

Sum of ages of ali and his father after 10 years is 60.

To Find :

Present age of ali.

Solution :

Let present of ali be x years.

We are given that, present age of ali is 1/4th of his father's age.

Therefore present age of father will be 4x.

After 10 years,

• Age of ali will be (x + 10) years
• Age of father will be (4x + 10) years

As per given data, sum of ages of ali and his father after 10 hears is 60$.$

So we can say that,

➙ (x + 10) + (4x + 10) = 60

➙ (x + 4x) + (10 + 10) = 60

➙ 5x + 20 = 60

➙ 5x = 60 - 20

➙ 5x = 40

➙ x = 40/5

➙ x = 8

∴ Present age of ali is 8 years.