Question

the ages of Amit and Sumit are in the ratio 2 ratio 3 after 15 years the ratio of their ages will be 3 ratio 4 find present ages

Answer 1

sumit age will be 45 and of amit qill be 30
equation is 2x+15/3x+15=3/4

Answer 2

Heya !!!




let the present age of Amit and sumit be X and Y years


According to question,



X : Y = 2:3






X/Y = 2/3




3X = 2Y -------(1)




After five years age of amit => ( X +5) years




After five years age of sumit = ( Y +5) years




According to question,




X + 5 : Y + 5 = 3:4




X + 5 / Y + 5 = 3/4



4 ( X + 5) = 3 ( Y +5)





4X + 20 = 3Y + 15


4X - 3Y = 15 - 20




4X - 3Y = - 5 ----------(2)




From equation (1) we get,




3X = 2Y



X = ( 2Y)/3 ------(3)




Putting the value of X in equation (2)



4X - 3Y = -5





4 × ( 2Y /3) - 3Y = -5




8Y/3 - 3Y = -5





8Y - 9Y = -5 × 3





-Y = -15




Y = 15 years



Putting the value of Y in equation (3)




X => 2Y/3




X => 2 × 15/3 = 2 × 5 = 10 years


Age of amit = X = 10 year


Age of sumit = Y = 15 years