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harkovskaia [24]
3 years ago
10

The ages of four sisters are consecutive even integers. Two times the age of the youngest sister exceeds the oldest sister's age

by 30 years. The equation 2x − (x + 6) = 30 models the age, x, of the youngest sister. What is the age of the oldest sister?
Mathematics
2 answers:
ruslelena [56]3 years ago
7 0

Answer:

42 years

Step-by-step explanation:

2x − (x + 6) = 30

x − 6 = 30

x = 36

Therefore,

<em>x + 6 = 36 + 6 = 42</em>

S_A_V [24]3 years ago
5 0

Alright, lets get started.

The ages of all four sisters will be = x, x+2, x+4, x+6

As per given in question, two times of youngest sister age exceeds the oldest sister age by 30 means

2x - 30 = (x+6)

Simplifying the equation

2x - (x+6) = 30

2x - x - 6 = 30

x = 36

So this is the age of youngest sister.

So, age of oldest sister will be x + 6 = 36 + 6 = 42

Hene the age of oldest sister is 42 years.   :  Answer

Hope it will help :)


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