Question

Two numbers are in the ratio of 5:6 if 21 is substracted each of two numbers. they become in the ratio of 2:3 find the numbers​

Answer 1

Answer:

35 and 42

Step-by-step explanation:

Let the numbers be 5x and 6x.

ATQ,

(5x-21)/(6x-21)=2/3

2(6x-21) = 3(5x-21)

12x-42 =15x-63

15x-12x = 63-42

3x = 21

x = 21/3

x = 7

hence the number are 5x =5×7=35

6x=6×7=42

Answer 2

$\huge\boxed{\fcolorbox{Blue}{Red}{Solution}}$

Let the two numbers be x and y.

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5. 

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5. The equation becomes,

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5. The equation becomes,y−8x−8=54

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5. The equation becomes,y−8x−8=54∴5x−4y=8     ...........(2)

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5. The equation becomes,y−8x−8=54∴5x−4y=8     ...........(2)Equation (1) can be written as x=65y

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5. The equation becomes,y−8x−8=54∴5x−4y=8     ...........(2)Equation (1) can be written as x=65ySubstituting x=65y in (2) we get,

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5. The equation becomes,y−8x−8=54∴5x−4y=8     ...........(2)Equation (1) can be written as x=65ySubstituting x=65y in (2) we get,y=48

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5. The equation becomes,y−8x−8=54∴5x−4y=8     ...........(2)Equation (1) can be written as x=65ySubstituting x=65y in (2) we get,y=48Re substituting y=48 in (1) we get,

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5. The equation becomes,y−8x−8=54∴5x−4y=8     ...........(2)Equation (1) can be written as x=65ySubstituting x=65y in (2) we get,y=48Re substituting y=48 in (1) we get,x=40

Let the two numbers be x and y.As per condition 1, i.e., Two numbers are in the ratio 5:6.The equation becomes,yx=65∴6x−5y=0      ..........(1)As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5.  becomes,y−8x−8=54∴5x−4y=8     ...........(2)Equation (1) can be written as x=65ySubstituting x=65y in (2) we get,y=48Re substituting y=48 in (1) we get,x=40Hence Numbers are 40,48.