Question

Two numbers are in the ratio 2:3. If 3 is added to the numbers, the ratio changes to 3:4. Find the numbers

Answer 1

Answer:

6&9

Step-by-step explanation:

according to the question, the nos. are 2x and 3x.

then, (2x+3)/(3x+3)=3/4

therefore, 4(2x+3)=3(3x+3)

8x+12=9x+9

12-9=9x-8x

3=x

therefore the nos. are 2×3=6 & 3×3=9

Answer 2

Step-by-step explanation:

$let \: the \: 2 \: numbers \: be \: 2x \: and \: 3x...... \\ \\ 3is \: added \: to \: both.... \\ it \: becomes \: 2x + 3 \: and \: 3x + 3 \\ \\ so....according \: to \: question.... \\ \frac{2x + 3}{3x + 3} = \frac{3}{4} \\ \\ 4(2x + 3) = 3(3x + 3) \\ \\ 8x + 12 = 9x + 9 \\ \\ 3 = x \\ \\ so \: numbers \: are....2(3) = 6 \\ and \: 3(3) = 9$

hope it helps.......✌✌