Question

The difference between two numbers is 66 of two numbers is 2.5 find the two numbers

Answer 1

Answer:

68.5

Step-by-step explanation:

let the no. be x

66 = x - 2.5

[transposition method]

66 + 2.5 = x

68.5 = x

Answer 2

❍ Appropriate Question -:

The difference between two numbers is 66 and the ratio of two numbers is 2 : 5. Find the two numbers.

❍ Explanation -:

In this question we are provided with the ratio of two numbers that is 2 : 5. It is also given that the difference between two numbers is 66. We are asked to calculate the two numbers.

First we will form an equation

Let us assume the first number as 5x and the second number as 2x. Where 5x > 2x.

It is given that the difference between two numbers is 66

According To Question

$\small\sf{ 5x - 2x = 66}$

Now we will solve this equation and find the value of x.

$\small\sf{ 5x - 2x = 66}$

$\longmapsto\small \rm{3x = 66}$

$\longmapsto\small\rm{x = \dfrac{ \cancel{66} \: \: 22}{ \cancel{3}} }$

$\small\sf {x = 22}$

We will substitute the value of x in both the numbers.

First number = 5x = 5 × 22 = 110

Second number = 2x = 2 × 22 = 44

❍ Verifying -:

$\small\sf{ 5x - 2x = 66}$

$\longmapsto \small\rm 110 - 44 = 66$

$\longmapsto \small\rm{66 = 66 }$

$\small\bf{ LHS = RHS}$

$\small\bf{ Hence, proved }$