the present age of AandB are in the ratio of 5:6.three year ago their age were in the ratio of 4:5
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Let us take the given ration be 5x:6x.
Age of A 3 years ago= 5x-3
Age of B 3 yrs. ago = 6x - 3.
Ratio of ages = 5x-3:6x-3
But it is given 4:5.
So,
Atq, 5x-3:6x-3=4 :5
or 5x - 3 / 6x - 3 = 4/5.
or 5(5x - 3)= 4(6x - 3)
or 25x - 15 = 24x - 12
or 25x - 24x = 15 -12
Therefore x = 3
Present age of A = 5x =5×3=15yrs.
Present age of B =6x = 6×3 =18 yrs.
Age of A 3 years ago= 5x-3
Age of B 3 yrs. ago = 6x - 3.
Ratio of ages = 5x-3:6x-3
But it is given 4:5.
So,
Atq, 5x-3:6x-3=4 :5
or 5x - 3 / 6x - 3 = 4/5.
or 5(5x - 3)= 4(6x - 3)
or 25x - 15 = 24x - 12
or 25x - 24x = 15 -12
Therefore x = 3
Present age of A = 5x =5×3=15yrs.
Present age of B =6x = 6×3 =18 yrs.
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