Find the two-digit number whose sum of digits is 36 less than the number itself, and the number is four times the sum of its digits.

दो अंकों की वह संख्या ज्ञात कीजिए, जिसके दोनों अंकों का योग उस संख्या से 36 कम है तथा प्राप्त संख्या, मूल संख्या के अंकों के योग का 4 गुना है।
Find the two-digit number whose sum of digits is 36 less than the number itself, and the number is four times the sum of its digits.

Options / विकल्प:

(a) 71
(b) 35
(c) 62
(d) 26


Solution / समाधान

Let the sum of digits be x.
मान लेते हैं अंकों का योग x है।

According to question:

Number = x + 36
संख्या = x + 36

Also, number is 4 times the sum of digits:

Number = 4x
संख्या = 4x

So,

4x = x + 36

3x = 36

x = 12

Now,

Number = 4 × 12 = 48

But 48 is not in the options.

Now check given options:

  • 71 → 7 + 1 = 8, 4 × 8 = 32 ❌
  • 35 → 3 + 5 = 8, 4 × 8 = 32 ❌
  • 62 → 6 + 2 = 8, 4 × 8 = 32 ❌
  • 26 → 2 + 6 = 8, 4 × 8 = 32 ❌

Answer / उत्तर

Correct answer should be 48

Given options are incorrect.

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