Question

Two number are in ratio of 2:3 if 2 is added to both the ratio becomes 3/4 find the number.
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Answer 1

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Answer

• Numbers are 4 and 6

Given

• Ratio of numbers = 2 : 3 = 2/3

To Calculate

• Actual Numbers

Solution

The number is 2/3

According to question,

$\bf \implies \frac{2x + 2}{3x + 2} = \frac{3}{4}$

By cross multiplication,

$\bf \implies 4(2x + 2) = 3(3x + 2)$

$\bf \implies 8x + 8 = 9x + 6$

$\bf \implies 8x - 9x = 6 - 8$

$\bf \implies - x = - 2$

$\bf \implies x = 2$

So, numbers are

• 2x = 2 × 2 = 4
• 3x = 3 × 2 = 6

Therefore, Numbers are 4 and 6.