If the ratibe the sum of their ages 5 years from now ?(A) 90ratito of

1.	If the ratibe the sum of their ages 5 years from now ?(A) 90ratito of the ages (in years) of A and B, 5 years ago was 5 :7, then which of the following can(B) 98(C) 92(D) 87
Answer» let the present ages of A and B be a,b => age of A and B five years ago is a-5 and b-5 ratio of a-5 and b-5 is 5/7=> a-5/b-5 = 5/7 => 7a-35 = 5b-25=>7a-5b = 10 now 5 years from present there ages will be a+5, b+5 now sum of their ages will be (a+5)+(b+5)= a+b+10 now from 1st equation a = (10+5b)/7 put this in a+b+10 = (10+5b)/7+b+10= 10+5b+7b+70/7=12b+80/7 now check for values of b. 12b+80/7 = (7b+70)/7 + 5b+10/7= b+10 + (5b+10)/7 now for (5b+10)/7 to be integer.ao check the values of b.

If the ratibe the sum of their ages 5 years from now ?(A) 90ratito of the ages (in years) of A and B, 5 years ago was 5 :7, then which of the following can(B) 98(C) 92(D) 87

Answer»

let the present ages of A and B be a,b

=> age of A and B five years ago is a-5 and b-5

ratio of a-5 and b-5 is 5/7=> a-5/b-5 = 5/7 => 7a-35 = 5b-25=>7a-5b = 10

now 5 years from present there ages will be a+5, b+5

now sum of their ages will be (a+5)+(b+5)= a+b+10

now from 1st equation a = (10+5b)/7

put this in a+b+10 = (10+5b)/7+b+10= 10+5b+7b+70/7=12b+80/7

now check for values of b.

12b+80/7 = (7b+70)/7 + 5b+10/7= b+10 + (5b+10)/7

now for (5b+10)/7 to be integer.ao check the values of b.