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
