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laila [671]
3 years ago
14

The difference in age between Brita and her daughter Eva is 30 years. The sum or their ages 118. How old is Eva?

Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

Eva's age is 44 years

Step-by-step explanation:

Let

x ----> Brita's age

y ----> Eva's age

we know that

The sum or their ages 118

so

x+y=118 ----> equation A

The difference in age between Brita and her daughter Eva is 30 years

so

x-y=30 ----> equation B

Solve the system by elimination

Adds equation A and equation B

x+y=118\\x-y=30\\---------\\x+x=118+30\\2x=148\\x=74

<em>Find the value of y</em>

substitute the value of x in any equation

74+y=118\\y=118-74\\y=44

therefore

Eva's age is 44 years

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