Question

Two numbers are in ratio 5:7. Their difference is 10, find the numbers.
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Answer 1

Let the two numbers are, smaller number x and larger number y.

Let the two numbers are, smaller number x and larger number y.y - x = 10

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y is

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 7

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7x

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + x

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + xCross multiplication

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + xCross multiplication7x = 5 (10 + x)

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + xCross multiplication7x = 5 (10 + x)7x = 50 + 5x

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + xCross multiplication7x = 5 (10 + x)7x = 50 + 5x2x = 50

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + xCross multiplication7x = 5 (10 + x)7x = 50 + 5x2x = 50x = 25

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + xCross multiplication7x = 5 (10 + x)7x = 50 + 5x2x = 50x = 25The smaller number is 25

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + xCross multiplication7x = 5 (10 + x)7x = 50 + 5x2x = 50x = 25The smaller number is 25Now putting the value of x in Eq..2 to get the value of y

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + xCross multiplication7x = 5 (10 + x)7x = 50 + 5x2x = 50x = 25The smaller number is 25Now putting the value of x in Eq..2 to get the value of yy = 7x/5

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + xCross multiplication7x = 5 (10 + x)7x = 50 + 5x2x = 50x = 25The smaller number is 25Now putting the value of x in Eq..2 to get the value of yy = 7x/5y = 7 × 25/5

Let the two numbers are, smaller number x and larger number y.y - x = 10y = 10 + x.. Eq…1Two numbers ratio is 5 : 7Ratio of x and y isx / y = 5 / 75y = 7xy = 7x / 5….Eq..2Now putting the value of y from Eq..2 to Eq..1y = 10 + x7x/5 = 10 + xCross multiplication7x = 5 (10 + x)7x = 50 + 5x2x = 50x = 25The smaller number is 25Now putting the value of x in Eq..2 to get the value of yy = 7x/5y = 7 × 25/5y = 35

Answer 2

Answer:

Let the numbers be 5x and 7x

according to the problem

7x-5x=10

2x=10

x=5

Therefore, the numbers are 25 and 35.