The sum of ages of father amd his son is 60 years. After 14 years, father's age will be three times the age of his son. Find their present ages.​

Respuesta :

Answer:

Father age= 52 years

Son age =8 years

Step-by-step explanation:

Given:

⇒ Sum of ages of father and his son = 60 years

⇒ After 14 years - father's age will be 3 times the age of his Son

⇒ Find their present ages

Solution:

According to the given,

The total = 60

Father age = "x " ( unknown)

Son age = 60 - x

In additionally,

Father age = ( x + 14 ) years

Son age = ( 60 - x + 14 )

= ( 74 - x ) years

Setting up the problem:

x + 14 = 3 ( 74 - x )

Removing parentheses:

x + 14 = 3 × 74 - x

Multiply:

x + 14 = 222 - 3x

variable on one side and the other on other side:

x + 3x = 222 - 14

Add/Subtract:

4x = 208

Divide:

4x/4 = 208/4

x = 52

Hence, at present:

Father age = 52

Son age = 60 - 52

→ 8

As a result,

Their present ages:

Father = 52

Son = 8

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