the ratio of Ages of A and B 10 years before was 3 ratio 5 the ratio of their present age is 2 ratio 3 if their ages are respectively
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Answer:
Step-by-step explanation:
Let the present ages of A = x
B = y
A to q
Bfr 10 years
X - 10 ÷ y - 10 = 3:5
On cross multiply
5(x-10) = 3(y - 10)
5x - 50 = 3y - 30
5x - 3y = -30 + 50
5x - 3y = 20 ..............1
A to q
X:y = 2:3
On cross multiply
3x = 2y
X = 2y/3
Putting in eq 1
5x - 3y = 20
5(2y ÷ 3) - 3y = 20
10y ÷ 3 - 3y = 20
On taking LCM
10y - 9y ÷ 3 = 20
Y = 20 ×3 = 60
X = 2y/3
= 2×60 ÷ 3 = 40
A = 40 years
B = 60.years
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