Respuesta :

Answer:

7 : 5

Step-by-step explanation:

let the age of the younger be x , then the older is x + 18, thus

x + x + 18 = 108, that is

2x + 18 = 108 ( subtract 18 from both sides )

2x = 90 ( divide both sides by 2 )

x = 45

Thus younger is 45 and older is 45 + 18 = 63

ratio older : younger = 63 : 45 = 7 : 5

The ratio of the age of the older to the younger​ 7 : 5

We have given that the total age of two sister

x+y=108.......(1)

Now by condition,

we have age of younger sister is x then the older sister is is y years

What is the age of both sister?

x=18 then y=x+18

Plug value of y in equation 1

x + x + 18 = 108,

2x + 18 = 108

2x=108-18

2x = 90.......... ( divide both sides by 2 )

x = 45

Thus younger is 45 and

older is

y = x + 18

 =45+18

= 63

We can write it in ratio from,

ratio older : younger

= 63 : 45

= 7 : 5

Therefore,

The ratio of the age of the older to the younger​ 7 : 5

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