Question

10) The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. The two numbers are: * 1 point

Answer 1

Answer:

Step-by-step explanation:

⇒Let the two numbers be x & y...

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

By looking at the difference we can say x - y = 66....................(ii)

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

⇒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

Answer 2

Given:

Difference between two whole numbers is 66.

The ratio of the two numbers is 2 : 5.

To Find:

Two Numbers

Solution:

Let the two numbers be 2x and 5x

$\underline{\bigstar\:\textsf{According to the given Question :}}$

5x - 2x = 66

3x = 66

$\implies\sf x = \dfrac{66}{3}$

x = 22

Now putting the value of x in the both the numbers

Therefore,

2x = 2×22 = 44

And

5x= 5×22 = 110

Hence, the two numbers are 44 and 110