Question

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

Short answer

The two numbers are $3$and $7$

Step-by-step solution

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" $a+b=10.......\left(1\right)$

Also second number $b$is $4$less than first number $a$

So equation can be written as $a=b-4$

On rearranging we get:

localid="1644381597112" $a-b=-4..........\left(2\right)$

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