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Chapter 4: Q. 4.27 (page 390)

The sum of two numbers is 10 One number is 4 less than the other. Find the numbers.

Short Answer

Expert verified

The two numbers are 3and 7

Step by step solution

01

Step 1. Given data and Forming Equation

On reading the problem we come to know that we need two number which are unknown.

So we need to assume two number.

Let the first number be a

Let the second number be b

We are given that sum of this two numbers is 10

So equation can be written as

localid="1644381574423" a+b=10.......(1)

Also second number bis 4less than first number a

So equation can be written as a=b-4

On rearranging we get:

localid="1644381597112" a-b=-4..........(2)

02

Step 2. Solving Equationa+b=10.......(1)a-b=-4..........(2)On adding two equation we get:2a=6a=3Now substitute a=3 in equation 13+b=10b=7So the two numbers are 3 and 7

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Most popular questions from this chapter

Write an application problem similar to Example 4.14. Then translate to a system of equations and solve it.

Solve the system of equations by substitution

2x+5y=1y=13x-2

The sum of two number is

-26. One number is 12less than

the other. Find the numbers.

The measure of one of the small angles of a right triangle is26more than 3times the measure of the other small angle. Find the measure of both angles.

Solve the system by graphing:-x+y=13x+2y=12
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