The ratio of the present ages of A and B = 7:5.
Let their ages be 7x and 5x respectively.
10 years hence,
A's age = (7x+10) years
B's age = (5x+10) years
Ratio of their ages after 10 years = 9:7
so,
7x+10 / 5x+10 = 9/7
by Cross multiplication,
7(7x+10) = 9(5x+10)
49x+70=45x+90
49x-45x=90-70
4x=20
x=20/4
x=5
Present age of A = 7x
= 7×5
=35 years
Present age of B = 5x
= 5×5
= 25 years
The ratio in the present ages of A and B = 7 : 5
Let the age of A = 7x years
Let the age of B = 5x years
Then age of A = 7x + 10 years and age of B = 5x + 10 years
According to the condition,
(7x+10)/(5x+10) = 9/7
By cross multiplication
7(7x + 10) = 9(5x + 10)
=> 49x + 70 = 45x + 90
=> 49x – 45x = 90 – 70
=> 4x = 20
=> x = 5
Present age of A = 7x = 7 x 5 = 35 years and present age of B = 5x = 5 x 5 = 25 years
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Verified answer
The ratio of the present ages of A and B = 7:5.
Let their ages be 7x and 5x respectively.
10 years hence,
A's age = (7x+10) years
B's age = (5x+10) years
Ratio of their ages after 10 years = 9:7
so,
7x+10 / 5x+10 = 9/7
by Cross multiplication,
7(7x+10) = 9(5x+10)
49x+70=45x+90
49x-45x=90-70
4x=20
x=20/4
x=5
Present age of A = 7x
= 7×5
=35 years
Present age of B = 5x
= 5×5
= 25 years
The ratio in the present ages of A and B = 7 : 5
Let the age of A = 7x years
Let the age of B = 5x years
10 years hence,
Then age of A = 7x + 10 years and age of B = 5x + 10 years
According to the condition,
(7x+10)/(5x+10) = 9/7
By cross multiplication
7(7x + 10) = 9(5x + 10)
=> 49x + 70 = 45x + 90
=> 49x – 45x = 90 – 70
=> 4x = 20
=> x = 5
Present age of A = 7x = 7 x 5 = 35 years and present age of B = 5x = 5 x 5 = 25 years