Chapter 3: Q. 33 (page 316)

In the following exercises, solve each number word
One number is $14$ less than another. If their sum is increased by seven, the result is $85$ . Find the numbers.

Short Answer

Expert verified

The number is $46$ and the other number is $32$ .

Step by step solution

Step 1. Given Information

We are given that one number is $14$ less than another.

We have to find the numbers.

Step 2. Forming the equation

Let the number be x,

So, the other number will be $x - 14$ ,

We know that when sum of the numbers is incresed by $7$ , we get $85$

So, the equation will be,

$x + (x - 14) + 7 = 85 x + x - 14 + 7 = 85 2 x - 7 = 85$

Step 3. Solving the equation

Adding $7$ on both sides, we get

$2 x - 7 = 85 2 x - 7 + 7 = 85 + 7 2 x = 92$

Dividing by $2$ ,

$x = \frac{92}{2} x = 46$

The other number will be $46 - 14 = 32$ ,

Hence, the number is $46$ and the other number is $32$ .

Step 4. Checking the solution

Putting the value of xin the equation, we get

$x + (x - 14) + 7 = 85 46 + (46 - 14) + 7 = 85 46 + 32 + 7 = 85 85 = 85 L H S = R H S$

Hence the solution is correct.

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In the following exercises, solve each number word
One number is $14$ less than another. If their sum is increased by seven, the result is $85$ . Find the numbers.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Forming the equation

Step 3. Solving the equation

Step 4. Checking the solution

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In the following exercises, solve each number wordOne number is 14less than another. If their sum is increased by seven, the result is 85. Find the numbers.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Forming the equation

Step 3. Solving the equation

Step 4. Checking the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Decision Maths

Pure Maths

Mechanics Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each number word
One number is $14$ less than another. If their sum is increased by seven, the result is $85$ . Find the numbers.