Question

Robert is 17 years old. His father is 5 years older than his mother. Together their ages
Total 100 years. Determine the ages of his parents

Answer 1

Step-by-step explanation:

Robert age = 17

mother age = x

father age = x + 5

sum of all age = 100

17 + x + x + 5 = 100

22 + 2x = 100

2x = 100 - 22

x = 88/2

x = 44

mother age = 44

father age = 44+5 = 49

Answer 2

Given :-

Robert is 17 years old.

His father is 5 years older than his mother.

Together their ages total 100 years.

To find :-

The ages of his parents.

Answer :-

Given that

The age of Robert = 17 years

Let the age of his mother be X years

Then, The age of his father

= 5 years older than his mother.

= (X+5) years

The sum of their ages

= 17+X+X+5

= (2X+22) years

According to the given problem

The sum of their ages = 100 years

Therefore, 2X+22 = 100

=> 2X = 100-22

=> 2X = 78

=> X = 78/2

=> X = 39 years

Therefore, The age of his mother = 39 years

The age of his farther = 39+5 = 44 years

Answer :-

• The age of his mother = 39 years
• The age of his farther = 44 years