If two numbers in the ratio 10:4 and when 3 is added to the numbers ratio becomes 3:1. Find the numbers.

30 and 12

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10 and 4

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20 and 8

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None

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Solution

The correct option is A
30 and 12

The numbers will be 10x and 4x.
Now, $\frac{10 x + 3}{4 x + 3} = \frac{3}{1}$
On cross multiplying, we get
10x+3=12x+9
2x=6
x=3
So the numbers will be
$10 x = 10 \times 3 = 30$
$4 x = 4 \times 3 = 12$

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If two numbers in the ratio 10:4 and when 3 is added to the numbers ratio becomes 3:1. Find the numbers.

The correct option is A 30 and 12 The numbers will be 10x and 4x. Now, 10x+34x+3=31 On cross multiplying, we get 10x+3=12x+9 2x=6 x=3 So the numbers will be 10x=10×3=30 4x=4×3=12

The correct option is A
30 and 12

The numbers will be 10x and 4x.
Now, $\frac{10 x + 3}{4 x + 3} = \frac{3}{1}$
On cross multiplying, we get
10x+3=12x+9
2x=6
x=3
So the numbers will be
$10 x = 10 \times 3 = 30$
$4 x = 4 \times 3 = 12$