A is younger than B by 7 years and older than C by 6 years.Sum of 2/3 age of A's and 3/5 of B and 3/4 of C is 36 years.What is the Age of A?
Answers
Answer:
Age of A is 18 years.
Step-by-step explanation:
Let the present age of A be "a" years,
So,
Present age of B = ( a + 7 ) years
Present age of C = ( a - 6 ) years
It is given in the question that the sum of 2/3 age of A's and 3/5 of B and 3/4 of C is 36 years.
According to the question : -
⇒ 2 / 3 of A's age + 3 / 5 of B's age + 3 / 4 of C's age = 36 years
= > ( 2 / 3 x a years ) + { 3 / 5 x ( a + 7 ) years } + { 3 / 4 x ( a - 6 ) years } = 36 years
= > 2a / 3 + { 3( a + 7 )} / 5 + { 3( a - 6 ) } / 4 = 36
= > 2a / 3 + ( 3a + 21 ) / 5 + ( 3a - 18 ) / 4 = 36
= > { 20( 2a ) + 12( 3a + 21 ) + 15( 3a - 18 ) } / 60 = 36
= > 40a + 36a + 252 + 45a - 270 = 2160
= > 121a - 18 = 2160
= > 121 a = 2160 + 18
= > 121 a = 2178
= > a = 2178 / 121
= > a = 18
Therefore the age of A is 18 years, age of B is ( a + 7 = 18 + 7 = 25 ) 25 years and the age of C is ( a - 6 = 18 - 6 = 12 ) 12 years.