The result of dividing a number of two digits by the number with digits reversed is (1)3/4. If the sum of digits is 12, find the number.

Let's consider the digits at ten's place as x and let the digit at unit's place be y. Number = 10 × x + y = 10x + y, On reversing digits the number is = 10 × y + x = 10y + x. According to first condition, we have According to second condition, we have ⇒ x + y = 12 ⇒ x = 12 - y .......(ii) Substituting value of x from (ii) in (i) we get, ⇒ 3(12 - y) - 6y = 0 ⇒ 36 - 3y - 6y = 0 ⇒ 36 - 9y = 0 ⇒ 9y = 36 ⇒ y = 4. Substituting value of y in (ii) we get, ⇒ x = 12 - 4 = 8. Number = 10 × x + y = 10 × 8 + 4 = 84. Hence, number = 84.

A number of two digits exceeds four times the sum of its digits by 6 and it is increased by 9 on reversing the digits. Find the number.

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When a two digit number is divided by the sum of its digits the quotient is 8. If the ten's digit is diminished by three times the unit's digit, the remainder is 1. What is the number?

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A number of three digits has the hundred digit 4 times the unit digit and the sum of three digits is 14. If the three digits are written in the reverse order, the value of the number is decreased by 594. Find the number.

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Mathematics

The result of dividing a number of two digits by the number with digits reversed is (1)3/4. If the sum of digits is 12, find the number.

Linear Equations

Related Questions

A number of two digits exceeds four times the sum of its digits by 6 and it is increased by 9 on reversing the digits. Find the number.

When a two digit number is divided by the sum of its digits the quotient is 8. If the ten's digit is diminished by three times the unit's digit, the remainder is 1. What is the number?

A number of three digits has the hundred digit 4 times the unit digit and the sum of three digits is 14. If the three digits are written in the reverse order, the value of the number is decreased by 594. Find the number.