The present ages of A and B are in the Ratio
2:3, after 6 years their ratio will become
3:4. What is the present age of A ?[ ]
what is the answer from above question??
Answers
Step-by-step explanation:
Let the rational between present ages of A and B is x.
Therefore their respective ages, A, 2x and B, 3x.
The ratio of their ages 5 years hence, will be 3 : 4
5 years hence, their ages will be 2x + 5 and 3x + 5, and the ratio of their ages 3 / 4
(2x + 5) / (3x + 5) = 3 / 4
Cross multiplication
3 (3x + 5) = 4 (2x + 5)
9x + 15 = 8x + 20
9x - 8x = 20 – 15
x = 5
Thus the rational x is 5. Their respective ages:
A's present age 2x = 2 × 5 = 10 years
B's present age 3x = 3 × 5 = 15 years
Answer A's present age is 10 years.
Let us check for correctness of answer
5 years hence , the age of A will be 10 + 5 = 15 years and age of B will be 15 + 5= 20 years and the ratio between their ages will be
15 : 20 or 3 : 4
hope it helps you
sorry for any mistake
Answer:
12 is the present age of A and 18 is the age of B