Question

The difference between two whole numbers is 66. The ratio of the two numbers is 2 : 5. The two numbers are:
a) 60 and 6
b) 100 and 33
c) 110 and 44
d) 99 and 33

Answer 1

Answer :-

• The two numbers are 110 and 44

( option c )

Given :-

• The difference between two whole number is 66.

• Ratio of the two numbers is 2 : 5

To Find :-

• The numbers.

Step By Step Solution :-

As given in the question the difference between two whole numbers is 66 and their ratio is 2 : 5.

So let's do it !!

Let us consider the number as 2x and 5x.

Now equation ⤵

$\bigstar\boxed{ \underline{ \sf{ \red{5x - 2x = 66}}}}$

Now let us solve the equation ⤵

$\implies \sf5x - 2x = 66 \\ \\ \implies \sf 3x = 66 \\ \\ \implies \sf \: x = \cancel\cfrac{66}{3} \\ \\ \implies \sf x = 22$

Therefore x = 22

Now, Number will be ⤵

5x => 5 × 22 => 110

2x => 2 × 22 => 44

__________________________