Question

2 numbers are in the ratio 5:4. if 27 is added to each of them, the ratio becomes 8:7 Find the numbers??​

Answer 1

Step-by-step explanation:

x : y = 5: 4

4x=5y

x=5y/4

x+27 : y+27 =8 : 7

deduction of 1 on both sides

x+27-y-27 : y+27 = 8-7:7=1:7

x-y : y+27 =1:7

7x-7y=y+27

7x =8y+27

substitute x=5y/4

7×5y/4 = 8y+27

35y = 32y+ 108

3y = 108

y= 36

x= 5x36/4=45

no.s are 45, 36

Answer 2

Answer:

5x+27/4x+27=8:7

cross multiply

8(5x+27)=7(4x+27)

40x+216=32x+189

40x-32x=189-216

8x=-27

x=-27/8