Question

A number when multiplied by 4,exceeds itself by 45.Find the number

Answer 1

Let the no. be x
4x=x+45
3x=45
x=15.

Therefore the no.-15

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Answer 2

Let the number be x

A number when multiplied by 4 = x × 4 = 4x

A number when multiplied by 4 exceesds itself by 45 = 4x = x + 45


According to the question,

4x = x + 45

➾ 4x - x = 45

➾ 3x = 45

➾ x = $\dfrac{45}{3}$

➾ x = 15



∴ The number is $\bf{15}$


Verification :-

4x = x + 45

➾ 4x - x = 45

➾ 3x = 45

➾ 3 × 15 = 45

➾ 45 = 45

∴ LHS = RHS ✔✔



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