Question

A two digit number is such that the product of its digit is 35. If 18 is added to the number the digits interchange their places. find the number.​

Answer 1

Answer:

57

Step-by-step explanation:

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Answer 2

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दो अंकों की संख्या के लिए -

‌। माना इकाई का अंक = x

‌। दहाई का अंक = y

अतः संख्या = 10y + x

दिया है - इकाई और दहाई के अंक का गुणनफल = 35

अर्थात , xy = 35 -----(1)

प्रश्नानुसार ,

10y + x + 18 = 10x + y

9x - 9y = 18

x - y = 2 -----(2)

अब , (x + y)² = (x - y)² + 4xy

(x + y)² = (2)² + 4(35)

‌ = 4 + 140

(x + y)² = 144

x + y = √144

x + y = 12 ----(3)

समी. (2) + समी.(3) से

2x = 14

x = 7

तब , y = 5

अतः संख्या = 10(5) + 7

= 50 + 7

= 57