Barrie is now 2 years older than krista. In 15 years barrie's age will be 2 years more than twice krista's age now. How old will barrie be in 6 years? 1)23 years2)16 years3)11 years4)9 years
Answers
Barrie’s age in 6 years will be option (1) 23 years.
Step-by-step explanation:
Let the present age of Barrie be "x" years and that of Krista be "y" years.
It is given that Barrie is presently 2 years older than Krista i.e.,
x = y + 2
⇒ y = x - 2 ..... (i)
Also, after 15 years Barrie will be 2 years older than twice the Krista's age now i.e., the equation will be as follows,
x + 15 = 2 + 2y
⇒ x + 15 = 2 + 2(x - 2) ....... [substituting from (i)]
⇒ x + 15 = 2 + 2x - 4
⇒ 15 - 2 + 4 = 2x - x
⇒ x = 17 years ← Barrie's present age
Thus,
In 6 years, Barrie's age will be = 17 + 6 = 23 years
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