Question

A girl is x years old. Her father is 5 more than 2 times her age. The sum of their ages is 50 years. ​

Answer 1

Step-by-step explanation:

Let us assume,

• The age of girl is x.

And

• The age of her father is 2x + 5.

As given,

• The sum of their ages is 50years.

We can say that,

• ➠ (x) + (2x + 5) = 50
• ➠ x + 2x + 5 = 50
• ➠ 3x = 50 - 5
• ➠ 3x = 45
• ➠ x = 45/3
• ➠ x = 15years

Hence,

• The age of girl is 15 years.

And,

• The age of her father = 2(15) + 5 = 30 + 5
• The age of her father is 35 years.

Verification:

Father's age = 2(Age of girl) + 5

• ➠ 35 years = 2(15 years) + 5 years
• ➠ 35 years = 30 years + 5 years
• ➠ 35 years = 35 years
• ➠ LHS = RHS

Age of girl + Age of her father = 50years

• ➠ 15years + 35years + 50years
• ➠ 50years = 50years
• ➠ LHS = RHS

Hence verified

Finalized Answer:

• The age of girl and her father are 15years and 35years respectively.