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When a number is divided, the quotient is 7 times the divisor and the divisor is 3 times the remainder. If the remainder after the process comes to be 5. Then find the number.

When a number is divided, the quotient is 7 times the divisor and the divisor is 3 times the remainder. If the remainder after the process comes to be 5. Then find the number. Correct Answer 1580

Given:

Quotient = 7 × Divisor

Divisor = 3 × Remainder

Remainder = 5

Concept used:

Dividend = Divisor × Quotient + Remainder

Calculations:

Divisor = 3 × Remainder = 3 × 5

⇒ Divisor = 15

Quotient = 7 × Divisor = 7 × 15

⇒ Quotient = 105

Dividend = Divisor × Quotient + Remainder = 15 × 105 + 5

⇒ 1575 + 5

⇒ 1580

∴ The number is 1580

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