Question

6.The difference between two whole numbers is 66.The ratio of the two numbers is 2:5.what are the two numbers?




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Answer 1

Step-by-step explanation:

We have,

Let the two whole number is x and y.

Then,

x−y=66......(1)

Now, Acoording to question,

y

x

=

2

5

⇒2x=5y

⇒x=

2

5

y

Put in equation (1) and we get,

x−y=66

⇒

2

5

y−y=66

⇒5y−2y=66×2

⇒3y=66×2

⇒y=

3

66×2

⇒y=22×2

⇒y=44

Put the value of y in equation (1) and we get,

x−y=66

⇒x−44=66

⇒x=66+44

⇒x=110

Then, the number is 110and44

Hence, this is

Answer 2

Let the two numbers be x & y... By looking at the difference we can say x - y

By looking at the ratio we can say 2x= 5y. . (1)

= 66.. . ..(i)

Or, x = 66+y..(ii)

Putting this value of x in eq.(i) we get :

2(66+y) = 5y

132 + 2y = 5y

3y = 132

y = 44

Putting this value of y in eq.(iii) we get :

x = 66 + 44

x = 110

Therefore the two numbers are 44 and 110.