the ratio of present ages of Bharat and Neha is there anupat 17 respectively 4 year ago the respective ratio of their ages was 11 ratio 15 what will be the respectively the ratio of their ages 6 year after
Answers
Step-by-step explanation:
Let the rational between present ages of A and B is x.
Therefore their respective ages, A, 4x and B, 5x.
The ratio of their ages 4 year hence, become 14 : 17
4 years hence, their ages will be 4x + 4 and 5x + 4, and the ratio of their ages 14 /17
(4x + 4) / (5x + 4) = 14/ 17
Cross multiplication
14 (5x + 4) = 17 (4x + 4)
70x + 56 = 68x + 68
70x - 68x = 68 – 56
2x = 12
x = 12/2
x = 6
Thus the rational x is 6. Their respective ages:
A's present age 4x = 4 × 6 = 24 years
B's present age 5x = 5 × 6 = 30 years
Answer B's present age is 30 years.
Let us check for correctness of answer
4 years hence , the age of A will be 24 + 4 = 28 and age of B will be 30 + 4= 34 years and the ratio between their ages will be
28 : 34 or 14 : 17
Means answer is correct.