Question

5. Translate the following into algebraic expression: a. A number increased by 21 is 25. Find the number. b. A number decreased by 15 is 25. Find the number. c. One-half of a number is 8. Find the number​

Answer 1

Answer:

A]x+21=25

B]x-15=25

C]1

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Answer 2

Answer with step-by-step explanation:

Aim: To translate the given statements into algebraic expressions and solve accordingly

Statement 1:

A number increased by 21 is 25

Let's keep the unknown number as x. We have to add 21 to this number to get 25. So that will be:

x + 21 = 25

=      x = 25 - 21

=      x = 4

Therefore, x = 4

Statement 2:

A number decreased by 15 is 25

Let's keep the unknown number as y. We have to subtract 15 from this number to get 25. That will be:

y - 15 = 25

=     y = 25 - 15

=     y = 10

Therefore, y = 10

Statement 3:

One half of a number is 8

Let's keep the unknown number as z. We have to divide the number by 2 [since half is $\frac{1}{2}$] to get 8. That will be:

$z * \frac{1}{2} = 8$

=    $z = 8*2$

=    $z = 16$

Therefore, z = 16

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