Question

please ans no 21......
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Answer 1

Answer:

Step-by-step explanation:

Let the digit in the tens place be x and ones place be y

Hence the number = (10 × x) + y = 10x + y

Number obtained by reversing the digits = 10y + x

Given that 10y + x = (5/6) × (10x + y)

⇒ 60y + 6x = 50x + 5y

⇒ 44x – 55y = 0

⇒ 4x – 5y = 0 → (1)

It is also given that difference of digits is 1.

⇒ x  – y  =1→ (2)

Multiplying equation (2) with 4, we get

4x  – 4y  = 4→ (3)

Let's solve (1) and (3)

4x  – 5y  = 0

4x  – 4y  = 4

—     +    —

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– y = – 4

∴ y = 4

Put y = 4 in (1) we get

4x – 5y = 0

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⇒ 4x = 5(4)

∴ x = 5

The number is 54.