The sum of Umar's age and his father's age is 46.Three years ago, Umar's father's age was 7 timesUmar's age. How old is Umar now?​

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Let umar's age be x

Then, his father's age is 46-x

Umar's age 3 years ago = x -3

His father's age 3 years ago = 46 - x -3

= 43 - x

Now, according to question three years ago, Umar's father's age was 7 times Umar's age.

So,

(43 - x)/(x-3) = 7/1

Cross-Multiplying,  we get 

43 - x = 7x - 21

7x + x = 43 +21

8x = 64

x = 64/8

x = 8

 

Hence, Umar is 8 years old now.