Question

SOLVE THE FOLLOWING

1)The sum of two numbers is 11 and their difference is 5. Find the numbers.

2) The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle.

3)The difference between two positive numbers is 40 and the ratio of these integers is 1 : 3. Find the integers.vv

Answer 1

Answer:

1. so the numbers are 8 and 3. If it helps please mark it brainliest.

2. It is given that the angle of triangle are in the ratio 2 : 3 : 4. Let the angles are 2x, 3x and 4x.

According to the angle sum property, the sum of interior angles of a triangle is 180 degree.

2x+3x+4x=1802x+3x+4x=180

9x=1809x=180

x=20x=20

The value of x is 20.

2x=2(20)=402x=2(20)=40

3x=3(20)=603x=3(20)=60

4x=4(20)=804x=4(20)=80

Therefore the angles of triangle are 40, 60 and 80.

3. The two positive integers are 20 and 60 respectively

Step-by-step explanation:

Let the non zero constant be x.

Then according to the ratio 1:3, And the second number be = 3x

= Let the first number be = 1x or x

ATP,

=>3x-x=40

=>2x=40

=>x=40/2

=>x=20

therefore, first positive integer= x= 20

Second positive integer= 3x= 3 x 20= 60