Question

The sum of two numbers is 72. The bigger is thrice the smaller. What is their difference?

Answer 1

Answer:

36

Step-by-step explanation:

Let the two numbers be x and 3x

A/Q, x+3x=72

=4x =72

=x =72/4

=x =18

So, the smallest number=18 and the greatest number=54

Now, Difference=54-18

=36

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Answer 2

• Difference is 36.

Step-by-step explanation:

To find:-

• Difference of numbers.

Solution:-

Given that,

Sum of two numbers is 72.

Let, Smaller number be x.

And Bigger number be 3x. [It is given, Bigger number is thrice the smaller.]

According to question :

$\sf \longrightarrow x + 3x = 73$

$\sf \longrightarrow 4x = 72$

$\sf \longrightarrow x = \dfrac{72}{4}$

$\longrightarrow \blue{\boxed{\sf \bold{x=18}} \star}$

Verification :

$\sf \longrightarrow x + 3x = 72$

• Put x = 72

$\sf \longrightarrow 18 + 3 \times 18 = 72$

$\sf \longrightarrow 18 + 54 = 72$

$\sf \longrightarrow 72 = 72$

$\boxed{\sf Hence \: Verified.}$

Numbers :-

We have taken, Smaller number be x. So, Smaller number is 18.

And, We have also taken, Bigger number be 3x = 3×18 = 54. Thus, Bigger number is 54.

Now,

Difference of number = Bigger number - Smaller number

$\longrightarrow 54 - 18$

$\longrightarrow \purple{\boxed{\sf \bold{36}}\bigstar}$

Therefore,

Difference is 36.