Question

Mother is 25 years older than her son. Find son's age if after 8 years ratio of son's age to mother's age will be 4/9.

Answer 1

Answer:

Son's age = 12 years

Mother's age = 27 years

Step-by-step explanation:

Let the son's age be x years

Let his mother's age be x + 25 years

After 8 years, age of son = x + 8 and age of mother = x + 25 + 8 = x + 33 years

According to the question,

$\dfrac{x + 8}{x + 33}$ = $\dfrac{4}{9}$

=> 9(x + 8) = 4(x + 33)

=> 9x + 72 = 4x + 132

=> 9x - 4x = 132 - 72

=> 5x = 60

=> x = $\dfrac{60}{5}$

=> x = 12

Present age of son is x years

=> 12 years

Present age of mother is x + 25 years

=> 12 + 25

=> 37 years

Answer 2

HEY MATE HERE IS YOUR ANSWER


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Let the age of son be y



Mother age be y + 25




After 8 years




Age of son = y + 8

Mother age = y + 25 + 8 = y + 33






ATQ

➡️ (y+8)/(y+33) = 4/9






➡️ 9(y+8) = 4(y +33)





➡️ 9y + 72 = 4y + 132





➡️ 9y-4y = 132-72







➡️ 5y = 60







➡️ y= 60/5







➡️ y=12




Age of son = 12 years




. Age of his mother = y + 25 = 12 + 37

➡️ 37 years






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