Ten years ago A was half of B in age If the ratio of their present ages is 3 4 what will be the tota...........

Math and Mental Ability Problems based on Ages

Ten years ago A was half of B in age. If the ratio of their present ages is 3:4, what will be the total of their present ages ?

35 years

30 years

27 years

25 years

Let A's age 10 years ago = x years
Then B's age 10 years ago = 2x years
x+10/2x+10 = 34

⇒4(x+10) = 3(2x+10) ⇒ x = 5
Total of heir present ages = (x+10+2x+10 )= (3x+20) = 35 years

Hence, option 1 is the correct answer.

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