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OlgaM077 [116]
3 years ago
11

This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jacks age and three tim

es Jen's age is 66. How old is Jen?
Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

Age of Jen is 13.6 years old

<em><u>Solution:</u></em>

Let "x" be the age of Jack and "y" be the age of Jen

Given that This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen

The above sentence can be written mathematically as:

Jack age + 2 = twice of age of Jen

x + 2 = 2y\\\\x = 2y - 2---- eqn 1

The sum of Jacks age and three times Jen's age is 66

Jack age + three times Jen age = 66

x + 3y = 66 ---- eqn 2

Substitute eqn 1 in eqn 2

2y - 2 + 3y = 66

5y - 2 = 66

5y = 68

<h3>y = 13.6</h3>

Thus age of Jen is 13.6 years old

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