Question

Learning Task 2: Translate the following sentence into equation. Use x as the var-
iable to represent number.
​

Answer 1

SOLUTION

COMPLETE QUESTION

Learning Task 2 :

Translate the following sentence into equation. Use x as the variable to represent a number. Then solve the problems

write your answers at the back of this sheet.

1. A number is 12 more than the other. Find the numbers if their sum is 48.

2. Twice the number decreased by 22 is 48. Find the number.

3. Seven times the number is 36 less than 10 times the number. Find the number,

TO DETERMINE

1. Let x be the first number

Then second number = 12 + x

So by the given condition

x + 12 + x = 48

$\implies \sf{2x + 12 = 48}$

Which is the required equation

We now solve for x

$\implies \sf{2x = 36}$

$\implies \sf{x = 18}$

Hence first number = 18

Second number = 30

2. Let x be the number

So by the given condition

2x - 22 = 48

Which is the required equation

We now solve for x

2x - 22 = 48

$\implies \sf{2x = 70}$

$\implies \sf{x = 35}$

Hence the required number = 35

3. Let x be the number

So by the given condition

7x = 10x - 36

Which is the required equation

We now solve for x

7x = 10x - 36

$\implies \sf{3x = 36}$

$\implies \sf{x = 12}$

Hence the required number = 12

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