Question

If 1◆6 =49 and 7◆8= 225, find the value of 3◆9.

This was the question in my paper.

Answer only if you know correctly.

Answer 1

Given,

1 ◆ 6 = 49

Here we have two numbers, 1 and 6.

( 1 + 6 )^2 = 49

7^2 = 49.

Now,


7◆8 = 225

( 7 + 8 )^2 = 225

15^2 = 225.

So,

3◆9

= ( 3 + 9 )^2

= ( 12 )^2

= 144.

So, the answer is 144.


Hope it helps !!

Answer 2

If 1◆6 =49 and 7◆8= 225 then the value of 3◆9 = 144

Given :

1◆6 = 49 and 7◆8 = 225

To find :

The value of 3◆9

Solution :

Step 1 of 3 :

Write down the given data

Here it is given that

1◆6 = 49 and 7◆8 = 225

Step 2 of 3 :

Find the pattern

1◆6 = (6 + 1)² = 7² = 49

7◆8 = (7 + 8)² = 15² = 225

So the pattern is

a◆b = (a + b)²

Step 3 of 3 :

Find the value

3◆9

= (3 + 9)²

= 12²

= 144

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