the age of a is two third of age of B. if 7 years from now B will be 6 years older than a.
find their present ages
Answers
According to the question,
a = 2b/3 ____ ( 1 )
& after 7 years
7(b) = 7(a+6)
i.e, 7b - 7a = 42 ____ ( 2 )
Substitute ( 1 ) in ( 2 )
It becomes,
7b - 7(2b/3) = 42
7b - 14b/3 = 42
(21b - 14b)/3 = 42
7b = 42*3
7b = 126
b = 126/7
b = 18
Now substitute b = 18 in ( 1 )
That is,
a = 2(18)/3
a = 36/3
a = 12
Therefore, the present age of a is 12 & that of be is 18.
Answer:12 and 18
Step-by-step explanation:
According to the question,
a = 2b/3 ____ ( 1 )
& after 7 years
7(b) = 7(a+6)
i.e, 7b - 7a = 42 ____ ( 2 )
Substitute ( 1 ) in ( 2 )
It becomes,
7b - 7(2b/3) = 42
7b - 14b/3 = 42
(21b - 14b)/3 = 42
7b = 42*3
7b = 126
b = 126/7
b = 18
Now substitute b = 18 in ( 1 )
That is,
a = 2(18)/3
a = 36/3
a = 12
Therefore, the present age of a is 12 & that of be is 18.