Question

Three consicutive ntegers are such that when they are taken in decreaseing order and multiplied by 3,4 and 5 respectively they add up to 154 find these numbers

Answer 1

Solution :-

Let the three consecutive integers be x, x + 1, x + 2 respectively.

So, there decreasing order is x + 2, x + 1, x respectively.

According to statement,

Three consicutive integers are such that when they are taken in decreasing order and multiplied by 3,4 and 5 respectively, they add up to 154.

It implies,

3(x + 2) + 4(x + 1) + 5x = 154

3x + 6 + 4x + 4 + 5x = 154

12x + 10 = 154

12x = 154 - 10

12x = 144

x = 12

Hence,

Consecutive numbers are

• x = 12

• x + 1 = 12 + 1 = 13

• x + 2 = 12 + 2 = 14

Basic Concept Used :-

Writing System of Linear Equation from Word Problem.

1. Understand the problem.

• Understand all the words used in stating the problem.

• Understand what you are asked to find.

2. Translate the problem to an equation.

• Assign a variable (or variables) to represent the unknown.

• Clearly state what the variable represents.

3. Carry out the plan and solve the problem.