Question

A number conisits of two digits. the digits in ten place exceeds the digits in the units place by 4. The sum of the digits is 1/7 of the number .the number is​

Answer 1

Answer:

84

Step-by-step explanation:

Let the digit in the units place be x

Therefore, digit in the ten's place is  x+4

Therefore, the number is = 10(x+4) + x = 11x + 40

According to the Question,

      x + (x+4) = 1/7 of (11x + 40)

or,  2x + 4 = 1/7 × (11x + 40)

or,  2x + 4 = (11x + 40)/7

or,  7(2x + 4) = 11x + 40

or,  14x + 28 = 11x + 40

or,  14x - 11x = 40 - 28

or,  3x = 12

or,    x = 12/3 = 4

Therefore, The number is = 11x + 40 = 44 + 40 = 84

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