Question

The value of 'm' which changes m (m + 1) = 30 into a correct statement is
a) 6
b) 5
c) 4
d) -5​

Answer 1

$\sf{\huge{\underline{\red{Given :-}}}}$

• An equation m (m + 1) = 30.

$\sf{\huge{\underline{\blue{To\:Find :-}}}}$

• The value of 'm' to make it a correct statement.

$\sf{\huge{\underline{\green{Answer :-}}}}$

We have equation,

m (m + 1) = 30

We have to put a number which makes the equation = result.

m (m + 1) = 30

➝ m² + m = 30

Let's try putting natural numbers in equation

For 1,

1² + 1 = 30

➝ 1 + 1 = 30

➝ 2 ≠30

For 2,

2² + 2 = 30

➝ 4 + 2 = 30

➝ 6 ≠ 30

For 3,

3² + 3 = 30

➝ 9 + 3 = 30

➝ 12 ≠ 30

For 4,

4² + 4 = 30

➝ 16 + 4 = 30

➝ 20 ≠ 30

For 5,

5² + 5 = 30

➝ 25 + 5 = 30

➝ 30 = 30

Hence, 5 satisfy the condition.

So, The value of m = 5.

The value of 'm = 5 ' to make it a correct statement.

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