Question

The sum of two numbers is equal to 20 and their differences is 25 the ratio of 2 numbers is

Answer 1

Answer:

Let the two numbers be larger x and smaller y

If the sum of the 2 numbers is 20

x + y = 20…Eq..1

and the difference is 25,

x - y = 25

x = 25 + y…Eq.2

Now substituting the value of x from Eq..2 to Eq..1

x + y = 20

25 + y + y = 20

25 + 2y = 20

2y = 20 - 25

2y = -5

y = -5/2

y = -2.5

The smaller number is -2.5.

Now substituting the derived value of y in Eq..2 to derive the value of x

x = 25 + y

x = 25 + (-2.5)

x = 25 - 2.5

The larger number is 22.5

The ratio of two numbers 22.5 : -2.5

= 225 : -25

= 45 : -5

= 9 : -1

Step-by-step explanation:

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