Question

The difference between the two whole numbers is 66. The ratio of the two numbers is 2: 5. The two numbers are:
(answer with explanation will be marked brain list)

Answer 1

Difference = 66

Let one no. be x and the other no. be y

So y - x = 66

hence Value of y in terms of x = 66 + x

ratio of the numbers = 2 : 5

Substitution :-

$\frac{x}{y} = \frac{2}{5} \\ \\ \frac{x}{66 + x} = \frac{2}{5} \\ \\ 2(66 + x) = 5x \\ \\ 132 + 2x = 5x \\ \\ 132 = 3x \\ \\ x = \frac{132}{3} = 44$

Hence x = 44

y = 66 + x = 66 + 44 = 110

Answer 2

Given:

• The difference between 2 whole number between is 66, the ratio of two number is 2:5.

To find:

• The two number.

Solution:

Let the ratio number be r

• 2r
• 5r

According to Question:

$:\implies\sf{(5r-2r)=66}$

$:\implies\sf{5r-2r=66}$

$:\implies\sf{3r=66}$

$:\implies\sf{r=\cancel{\dfrac{66}{3} }}$

$:\implies\frak{\pink{r=22}}$

hence,

The first number = 2 r = 2 (22) = 44

The second number = 5 r = 5 (22) = 110