Question

Two number are in ratio2:3 if 2 be subtracted from the first and 2 be added to the second the ratio become 1:2 find the sum of the number

Answer 1

Answer:

30

Step-by-step explanation:

x : y : : 2 : 3

x-2 : y+2 : : 1 : 2

x/y=2/3

x=2y/3

x-2/y+2 =1/2

x-2 =y + 2/2

2(x-2)=y+2

2x-4=y+2

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

4y/3-4=y+2

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

4y-12 =3y + 6

(4y-3y) =6+12

y=18

x=2y/3 =2*18/3=12

x=12

Sum of number = 12+ 18 = 30