Nayolii16
Answered

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4.
Lucy is three times as old as Alex.
Lucy is 7 years older than Megan.
The sum of their ages is 126.
Find the ratio of Alex's age to Lucy's age to Megan's age.

Sagot :

reinhard10158

Step-by-step explanation:

a = age of Alex

l = age of Lucy

m = age of Megan

a + l + m = 126

l = 3a

l = m + 7

=>

a = l/3

m = l - 7

we are using that in the first equation :

l/3 + l + l - 7 = 126

l + 3l + 3l - 21 = 378

7l = 357

l = 357/7 = 51

a = l/3 = 51/3 = 17

m = l - 7 = 51 - 7 = 44

the ratio of the age of Lucy to Alex to Megan is

51 : 17 : 44

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