Question

if the number is multiplied by two fifth of itself then the value obtained is 7840 what is the number
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Answer 1

Given :

If a number is multiplied by two fifth of itself, then the value obtained is 7840.

To Find :

• What is the number?

Solution :

Let the number be x.

According to the question,

• If it is multiplied by two fifth of itself, the value obtained is 7840.

↦ x × 2x/5 = 7840

↦ 2x²/5 = 7840

↦ 2x² = 7840 × 5

↦ x² = 39200/2

↦ x = √19600

↦ x = 140

Therefore, the number is 140.

VERIFICATION :

⟼ x × 2x/5 = 7840

Substituting x = 140, we get

⟼ 140 × 140 × 2/5 = 7840

⟼ 140 × 28 × 2 = 7840

⟼ 280 × 28 = 7840

⟼ 7840 = 7840

⟼ LHS = RHS

Hence, verified. ✔️

Answer 2

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Let the number be x.

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If it is multiplied by two fifth of itself, the value obtained is 7840.

↦ x × 2x/5 = 7840

↦ 2x²/5 = 7840

↦ 2x² = 7840 × 5

↦ x² = 39200/2

↦ x = √19600

↦ x = 140

Therefore, the number is 140.

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