Question

(i) A number changes from -45 to 45. What is the increase
or decrease in the number?
(ii) Find the third proportion of 27 and 9.​

Answer 1

✪Given:-

• ᴀ ɴᴜᴍʙᴇʀ ᴄʜᴀɴɢᴇs ғʀᴏᴍ -45 ᴛᴏ 45. ᴡʜᴀᴛ ɪs ᴛʜᴇ ᴅᴇᴄʀᴇᴀsᴇ ᴏʀ ɪɴᴄʀᴇᴀsᴇ ɪɴ ᴛʜᴇ ɴᴜᴍʙᴇʀ.

➪Tᴏ ғɪɴᴅ:-

• Tʜᴇ ᴅᴇᴄʀᴇᴀsᴇ ᴏʀ ɪɴᴄʀᴇᴀsᴇ ɪɴ ᴛʜᴇ ɴᴜᴍʙᴇʀ.

✔Sᴏʟᴜᴛɪᴏɴ:-

1. Let the decrease or increase be x.
2. so, -45+x=45
3. =>X=45+45
4. =>x=90

★Vᴀʀɪғʏɪɴɢ:-

• Insert 90 in place of x.
• so, -45+90=45
• => 45=45
• =>0=0

hence,L.H.S.=R.H.S.

the following answer is correct.

ꙬExᴘʟᴀɴᴀᴛɪᴏɴ:-

1. In first step to find the decrease or increase we need to add a number.
2. We added as the negative number was turned to positive.
3. And a negative number becomes positive only when it moves to right hand side,i.e., added.
4. Now on addition we got 90.
5. To prove the given solution we now added 90 to the given number (-45).
6. now minus and plus= minus(-)
7. we will do sunbtraction.
8. On subtraction the answer came was 45.

➪Tᴏ ғɪɴᴅ:-

• Tʜɪʀᴅ ᴘʀᴏᴘᴏʀᴛɪᴏɴ ᴛᴏ 27:9:?

✔Sᴏʟᴜᴛɪᴏɴ:-

1. Let the third term be x.
2. So , 27x=9
3. =>x=9/27
4. =>x=3

★VAʀɪғʏɪɴɢ:-

1. replace x with 3.
2. Formula= 1st term÷3rd term=2nd term.
3. 27/3=9
4. 9=9
5. 0=0

L.H.S.=R.H.S.

hence given statement is now true.

Hope it was helpful...

Thanks for asking...☺❤

Answer 2

Answer:

✪Given:-

ᴀ ɴᴜᴍʙᴇʀ ᴄʜᴀɴɢᴇs ғʀᴏᴍ -45 ᴛᴏ 45. ᴡʜᴀᴛ ɪs ᴛʜᴇ ᴅᴇᴄʀᴇᴀsᴇ ᴏʀ ɪɴᴄʀᴇᴀsᴇ ɪɴ ᴛʜᴇ ɴᴜᴍʙᴇʀ.

➪Tᴏ ғɪɴᴅ:-

Tʜᴇ ᴅᴇᴄʀᴇᴀsᴇ ᴏʀ ɪɴᴄʀᴇᴀsᴇ ɪɴ ᴛʜᴇ ɴᴜᴍʙᴇʀ.

✔Sᴏʟᴜᴛɪᴏɴ:-

Let the decrease or increase be x.

so, -45+x=45

=>X=45+45

=>x=90

★Vᴀʀɪғʏɪɴɢ:-

Insert 90 in place of x.

so, -45+90=45

=> 45=45

=>0=0

hence,L.H.S.=R.H.S.

the following answer is correct.

ꙬExᴘʟᴀɴᴀᴛɪᴏɴ:-

In first step to find the decrease or increase we need to add a number.

We added as the negative number was turned to positive.

And a negative number becomes positive only when it moves to right hand side,i.e., added.

Now on addition we got 90.

To prove the given solution we now added 90 to the given number (-45).

now minus and plus= minus(-)

we will do sunbtraction.

On subtraction the answer came was 45.

➪Tᴏ ғɪɴᴅ:-

Tʜɪʀᴅ ᴘʀᴏᴘᴏʀᴛɪᴏɴ ᴛᴏ 27:9:?

✔Sᴏʟᴜᴛɪᴏɴ:-

Let the third term be x.

So , 27x=9

=>x=9/27

=>x=3

★VAʀɪғʏɪɴɢ:-

replace x with 3.

Formula= 1st term÷3rd term=2nd term.

27/3=9

9=9

0=0

L.H.S.=R.H.S.

hence given statement is now true.

Hope it was helpful..

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