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The age of two persons A and B are in the ratio of 8:5. After 12 years the ratio will become 10:7. What is the present age of A?

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by sumanta0375

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by sumanta0375

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after 12 years,

age of A=[8x +12] yr

age of B=[5x + 12] yr

but the ages given in the problem = 10 x yrs and 7x yrs

10/7 =8x + 12 / 5x +12

=10 [ 5x + 12] = 7[8x +12 ]

= 50x + 120 = 56x + 84

= 56x - 50x = 120 - 84

= 6x = 36

= x=36/6

= x = 6

therefore, present age of A = 8x = 8 * 6 = 48

so A is 48 years old presently.

after 12 years

8x+12/5x+12 = 10/7

( 8x+12 ) 7 = ( 5x+12 ) 10

56x+84 = 50x+120

6x = 36

x = 6

Present Age of x = 8x

= 8*6

= 48 years