The result of dividing a number of two digits by the number with the digits reversed is 5/6 . If the difference of digits is 1, 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, ⇒ y - x = 1 ⇒ x = y - 1 .......(ii) Substituting value of x in (i) we get, ⇒ 5(y - 1) - 4y = 0 ⇒ 5y - 5 - 4y = 0 ⇒ y = 5. Substituting value of y in (ii) we get, ⇒ x = y - 1 = 5 - 1 = 4. Number = 10 × x + y = 10 × 4 + 5 = 45. Hence, number = 45.

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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Four years ago Marina was three times old as her daughter. Six years from now the mother will be twice as old as her daughter. Find their present ages.

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Mathematics

The result of dividing a number of two digits by the number with the digits reversed is 5/6 . If the difference of digits is 1, find the number.

Linear Equations

Related Questions

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.

Four years ago Marina was three times old as her daughter. Six years from now the mother will be twice as old as her daughter. Find their present ages.