Question

Two numbers are in the ratio 3:2 and their sum is 60. Find the numbers.
The three angles of a scalene triangle are in thorn
.​

Answer 1

Given:-

• Two numbers are in the ratio 3:2.

• The sum of the numbers is 60.

To Find:-

• Find the numbers.

Concept:-

• Firstly, let's understand the concept.Two numbers are in the ratio 3:2 with a sum of 60.Substitute the values given by equating it with unknown number x and solve it and find the numbers.

Solution:-

Let the two numbers be 3x and 2x

Sum of the numbers is 60.

According to the question we have!.

⟹ 3x + 2x = 60

⟹ 5x = 60

⟹ x = 60/5

⟹ x = 12

Hence,

⟹ The value of x is 12.

Now,

Substitute the value of x in the two numbers we had taken;

= 3x = 3 × 12 = 36

= 36

Hence,

⟹The first number is 36.

= 2x = 2 × 12 = 24

= 24

Hence,

⟹The second number is 24.

Therefore,

The two numbers are 36 and 24.

Verification:-

3x + 2x = 60

x = 12

⟹ (3 × 12) + (2 × 12) = 60

⟹ 36 + 24 = 60

⟹ 60 = 60

⟹ LHS = RHS

Hence,

It is verified.

Answer 2

Hlw Dude !

$\bf\bigstar{Question }$

Two numbers are in the ratio 3:2 and their sum is 60. Find the numbers.

$\bf\bigstar{Answer}$

Given ratio of two numbers -  3 : 2

The sum of that numbers - 60

Let the numbers be 3 x & 2 x.

According to the given condition,

⇒ 3x + 2x = 60.

⇒ 5x = 60

⇒ x = 60 ÷ 5

⇒ x = 12

Then the numbers be,

3x = 3 x 12 = 36

2x = 2 x 12 = 24.

The numbers are 36 & 24.

Hope this answer can helps!!