Question

Two number are in the ratio 2:3. If 4 is added to each then the new number are in the ratio 3 :4 find the number.​

Answer 1

Answer:

let the numbers be 2x and 3x

2x+4/3x+4=3/4

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

8x+16=9x+12

16-12=9x-8x

x=4

numbers are 8 and 12

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Answer 2

Step-by-step explanation:

GIVEN

x:y = 2 : 3

x/y = 2/3

3x = 2y

x = 2y/3----------–---------------eqn(1)

according to problem,.

x + 4/y + 4 = 3/4

4(x + 4) = 3(y +4)

4x + 16 = 3y + 12

4x = 3y +12 -16

4x = 3y -4

x = 3y - 4 / 4 ―――――――――――eqn(2)

from eqn (1) and (2)

2y/3 = 3y - 4 / 4

3(3y - 4) = 4(2y)

9y - 12 = 8y

9y - 8y = 12

y = 12

from eqn (1)

x = 2y/3

x = 2(12)/3

x = 24/3

x = 8

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