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Cesar is 5 years older than Hillary. In 9 years the sum of their ages will be 89. How old is Cesar now?

User David Hull
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1 Answer

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The present age of Cesar is 38 years old

Solution:

Let the present age of Cesar be "a"

Let the present age of Hillary be "b"

Cesar is 5 years older than Hillary

Present age of Cesar = 5 + present age of Hillary

a = 5 + b ------ eqn 1

In 9 years the sum of their ages will be 89

Age of cesar after 9 years = a + 9

Age of hillary after 9 years = b + 9

Sum of their ages is 89

Therefore,

a + 9 + b + 9 = 89

a + b = 89 - 18

a + b = 71 -------- eqn 2

Substitute eqn 1 in eqn 2

5 + b + b = 71

5 + 2b = 71

2b = 66

b = 33

Substitute b = 33 in eqn 1

a = 5 + 33 = 38

Thus present age of Cesar is 38 years old

User Lerner Zhang
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