Thabo is 5years older than Army in 7years time Army will be 3/4 of Thabo's age.how old is Army now?
Let's assume Army's current age is A.
According to the information given, Thabo is 5 years older than Army, so Thabo's current age is A + 5.
In 7 years, Army's age will be A + 7, and Thabo's age will be A + 5 + 7 = A + 12.
It is also mentioned that in 7 years, Army will be 3/4 of Thabo's age.
Therefore, we can write the equation: A + 7 = (3/4)(A + 12).
Multiplying both sides of the equation by 4 to eliminate the fraction: 4*(A + 7) = 3*(A + 12).
Expanding the equation: 4A + 28 = 3A + 36.
Subtracting 3A from both sides: 4A - 3A + 28 = 3A - 3A + 36.
Simplifying the equation: A + 28 = 36.
Subtracting 28 from both sides: A + 28 - 28 = 36 - 28.
Simplifying the equation further: A = 8.
Therefore, Army is currently 8 years old.
Let's assume the current age of Army is A years.
According to the given information, Thabo is 5 years older than Army.
Therefore, the current age of Thabo is A + 5 years.
In 7 years, Army will be A + 7 years old, and Thabo will be (A + 5) + 7 years old.
In 7 years, Army will be 3/4 of Thabo's age, so we can write the equation as:
A + 7 = (3/4) * ((A + 5) + 7)
Multiplying both sides of the equation by 4 to get rid of the fraction:
4(A + 7) = 3(A + 12)
Expanding the equation:
4A + 28 = 3A + 36
Subtracting 3A from both sides of the equation:
A + 28 = 36 - 3A
Combining like terms:
4A + 28 = 36 - 3A
4A + 3A = 36 - 28
7A = 8
Dividing both sides of the equation by 7:
A = 8/7
So, the current age of Army is approximately 1.14 years (or 1 year and 1.14 months).