Math, asked by Ilegaonkar, 10 months ago

Mother is 25 year 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

Anonymous: let x be the mother s age while y be the son s age. we have
x = y + 25. on the other hand (y + 8) /( x + 8) = 4/9 , then (y + 8) /(y + 33) = 4/9 and therefore 9*(y + 8) = 4*(y + 33) which means that 9*y + 72 = 4*y + 132 and thus 5*x = 60 and finally y = 60/5 = 12. the boy is 12 years old and the mothers is 37 years oss.

Answers

Answered by NidhraNair

⭕️Let present age of son be X years.

⭕️and mother be = (X+25) yrs.

⭕️After 8 years age of son= (X+8) yrs.

⭕️and mother's = (X+25+8) = (X+33) yrs.

Now ;

⇒ X+ 8 / X + 33 = 4/9

⇒ 9 ( X + 8 ) = 4 ( X + 33 )

⇒ 9X + 72 = 4X + 132

⇒ 9X - 4X = 132 - 72

⇒ 5X = 60

∴ X = 60/5

⇒∴ X = 12 yrs.

⭕️∴ Present age of son = X = 12 Years.

⭕️And mother = X + 25 = 12 + 25 = 37 years.

$\huge\bf{\boxed {\red{\mathfrak{thank \: you :)}}}}$

mith32: hi

alvin86: hey buddy nidhra can you tell me how did get 4/9 plzz

pratyush4211: 4:9=4/9

alvin86: ok thanks buddy

yashgade: thank you very much

Answered by pratyush4211

Here your Answer✍️

➡️Let son Age=x years

➡️Mother=(x+25)years

➡️After 8 years,
Son=(x+8)years
Mother=(x+25+8)=(x+33)years

➡️Ratio will be=4:9
A/Q
$\frac{x + 8}{x + 33} = \frac{4}{9} \\ = 9(x + 8) = 4(x + 33) \\ = 9x + 72 = 4x + 132 \\ = 9x - 4x = 132 - 72 \\ = 5x = 60 \\ x = \frac{60}{5} \\ x = 12$
➡️Boy age=12 years
➡️Mother age=12+25=37 years

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