Question

Two numbers are in the ratio 7:5. If 2 is subtracted from each of them, the ratio
becomes 3:2. Find the numbers.

Answer 1

Answer:

The two numbers are 10 and 14.

Step-by-step explanation:

$\frac{x}{y} = \frac{7}{5} ...(1)$

or, x=7y

5

$\frac{x - 2}{y - 2} = \frac{3}{2} ...(2)$

or, 7y -2

5 =3

y-2 2

or, 7y-10 = 3

5y-10 2

or, 14y-20=15y-30

or, -y=-10

or, y=10

By putting the value of y in (1) we get,

x/10=7/5

or, x=70/5

or, x=14

Therefore, the two numbers are 10 and 14

10:14=7:5

(10-2)/(14-2)=3:2

Hence, verified.

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