Question

Mother is 25 year older than her son . find son age after 8 years ratio of son age to mother age will be 4/9​

Answer 1

Answer:

37 YEARS(mothers age) 12years(sons age)

Step-by-step explanation:

Let son's age be 'x' and mother's age be 'y'

∴y=x+25........(1)

According to question, after 5 years

Son's age =x+5 and

Mother's age =y

Ratio of son's age to mother's age =

9

4

∴

y+8

x+8

=

9

4

9(x+8)=4(y+8)

9x+72=4y+32

9x−4y+40=0........(2)

Putting (1) in (2), we get

9x−4(x+25)+40=0

9x−4x−100+40=0

5x=60

x=12

Putting this in (1), we get

y=12+25=37

Therefore son's age is 12 years and mother's age is 37 years.

Answer 2

$\huge \fbox \colorbox{olivedrab}{answer}$

let the son's age to be 'x'

mother is 25 older than her son.

mothers age = x+25 years

after 8 years

son's age = x +8 years

mothers age =( x+25+8 )

= ( x+33 )

from the given information

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

9x + 72 = 4x+132

9x-4x = 132-7

= 5x= 60

= 60 ÷ 5 = 12

x=12

therefore,

the sons age =

$\boxed{12}$

it is the correct explanation.

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