Question

Sum of ages of father and son is 46 years. fathers age will be thrice that of sons age 5 years hence .find ratio of their age. Plz send answer I will mark you as brainliest

Answer 1

$\large\bf\underline{Given:-}$

• Sum of ages of father and son = 46 years
• After 5 years age of father will be thrice his son's age.

$\large\bf\underline {To \: find:-}$

• Ratio of age of thier ages.

$\huge\bf\underline{Solution:-}$

Let Father's age be x year's and son's age be y year's.

• Sum of Thier ages = 46
• x + y = 46
• x = 46 - y ......1)

▶️ Accourding to Question:-

After 5 years age of father will be thrice his son's age.

After 5 years thier ages :-

• Age of father = x + 5
• Age of son = y + 5

↣ 3(y+5) = 46 -y + 5

↣ 3y + 15 = 51 - y

↣3y + y = 51 - 15

↣4y = 36

↣y = 36/4

• ≫ y = 9
• putting value of y in 1)

↣x = 46 - y

↣x = 46 - 9

↣x = 37

hence

• »★Age of father = 37 years
• »★Age of son = 9 years

Now,

▶️Ratio of ages of father and son = 37:9

$\rule{200}3$

Answer 2

Step-by-step explanation:

${\red{\underline{\underline{\bold{Given:-}}}}}$

• Sum of ages of father and son is 46 years.

• After 5 years father will be thrice as old as his son.

${\blue{\underline{\underline{\bold{To\:Find}}}}}$

• The ratio of the present ages of the father and the son.

${\green{\underline{\underline{\bold{Solution:-}}}}}$

Sum of ages of father and son = 46 years.

Let the present age of father be ' x '

Then,

Present age of son = 46 - x

After 5 years:-

Age of father = x + 5

Age of son = 3(46 - x + 5)

= 3(51 - x)

= 153- 3x

Therefore:-

• x + 5 = 153 - 3x

• x + 3x = 153 - 5

• 4x = 148

• x = $\frac{148}{4}$

• x = 37

The age of father ' x ' = 37 years.

The age of son = 46 - 37

= 46 - 37

= 9

____________

Age of father = 37 years

Age of son = 9 years

____________

Ratio of the ages of father and son = 37 : 9