Question

A father age is 50 years and the sons age is 10 years they play a video game in which fathers score is 160 points If the fathers and sons scores are in proportion to their ages how much do the son score please share the step by step explanation

Answer 1

Answer:

Let the ages of father and his son be x and y respectively.

Case I:- The sum of the ages of father and his son is 65 years.

age of father + age of son = 65

$⇒x+y=65⟶(i)$

Case II:- After 5 years, fathers age will be twice the age of his son.

Age of father = 2 (age of son)

$⇒x+5=2(y+5)</p><p> \\ ⇒x+5=2y+10</p><p> \\ ⇒x=2y+5⟶(ii)$

From eq^n--------(i)&(ii), we have

$(2y+5)+y=65</p><p> \\ ⇒3y=65−5</p><p> \\ ⇒y=20$

Substituting the value of y in eq^n--------(i), we have

$x+20=65</p><p> \\ ⇒x=45$

Hence, the present age of father and son is 45 and 20 respectively and equation (i)&(ii) are the pair of linear equations in two variables.

Step-by-step explanation:

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