Respuesta :
Given
ratio of elinor's age to his mother is 3 : 8
after 15 years
the ratio will become 6:11
Find out the elinor's age today and find her mothers age after 15 years.
To proof
As given in the question
ratio of elinor's age to his mother is 3 : 8
let x be the variable describe age.
let the elinor age = 3x
let the mother age = 8x
after 15 years
ratio will become 6:11
[tex]\frac{elinor\ age + 15 }{Mother\ age + 15 } = \frac{6}{11}[/tex]
As assume ealier elinor age be 3x and mother age be 8x
put this in the above equation
we get
[tex]\frac{3x + 15 }{8x + 15 } = \frac{6}{11}[/tex]
now sloving the above equation
we get
11 ( 3x + 15) = 6 ( 8x + 15 )
33x + 165 = 48x + 90
75 = 15x
[tex]x = \frac{75}{15}[/tex]
x = 5
Therefore
elinor's age today = 3x
= 3 × 5
= 15years
mothers age after 15 years = 8x + 15
= 8× 5 + 15
= 40 + 15
= 55years
Hence proved
