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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.

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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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