MUTL) TUNC UT Liese17. The ages of A and B are presently in the ratio

1.	MUTL) TUNC UT Liese17. The ages of A and B are presently in the ratio of 5:6. Sixyears hence this ratio will become 6:7. What was B's age 5years ago?25 years 2) 30 years 3) 36 years 4) 31 years
Answer» Let age of A = 5xLet age of B = 6x After 6 yearsAge of A = 5x + 6Age of B = 6x + 6 As per given condition(5x + 6)/(6x + 6) = 6/7 7(5x + 6) = 6(6x + 6)35x + 42 = 36x + 3636x - 35x = 42 - 36x = 6 Therefore, B age 5 years ago= 6x - 5= 6*6 - 5 = 36 - 5= 31 years (4) is correct option

MUTL) TUNC UT Liese17. The ages of A and B are presently in the ratio of 5:6. Sixyears hence this ratio will become 6:7. What was B's age 5years ago?25 years 2) 30 years 3) 36 years 4) 31 years

Answer»

Let age of A = 5xLet age of B = 6x

After 6 yearsAge of A = 5x + 6Age of B = 6x + 6

As per given condition(5x + 6)/(6x + 6) = 6/7

7*(5x + 6) = 6*(6x + 6)35x + 42 = 36x + 3636x - 35x = 42 - 36x = 6

Therefore, B age 5 years ago= 6x - 5= 6*6 - 5 = 36 - 5= 31 years

(4) is correct option