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. If we add the square of the digit inthe tens place of a positive two-digit number to the product of the digits of that number, we shall get 52, and if we add the square of the digit in the units place to the same product of the digits, we shall get 117. Find the two- digit number?
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. If we add the square of the digit inthe tens place of a positive two...
Given Information:
- The square of the digit in the tens place + product of the digits = 52
- The square of the digit in the units place + product of the digits = 117

Solution:

Let's assume the two-digit number is represented as AB.
- The number can be expressed as 10A + B, where A is the digit in the tens place and B is the digit in the units place.

Equations:
1. A^2 + A * B = 52
2. B^2 + A * B = 117

Solving the Equations:
1. From equation 1, A^2 + A * B = 52
2. From equation 2, B^2 + A * B = 117
- Subtracting equation 1 from equation 2:
(B^2 - A^2) = 65
(B + A)(B - A) = 65
- Factors of 65 are 1, 5, 13, 65
- By trial and error, we find that A = 6 and B = 11 satisfies the equations.

Therefore, the two-digit number is 61.
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. If we add the square of the digit inthe tens place of a positive two-digit number to the product of the digits of that number, we shall get 52, and if we add the square of the digit in the units place to the same product of the digits, we shall get 117. Find the two- digit number?
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. If we add the square of the digit inthe tens place of a positive two-digit number to the product of the digits of that number, we shall get 52, and if we add the square of the digit in the units place to the same product of the digits, we shall get 117. Find the two- digit number? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about . If we add the square of the digit inthe tens place of a positive two-digit number to the product of the digits of that number, we shall get 52, and if we add the square of the digit in the units place to the same product of the digits, we shall get 117. Find the two- digit number? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for . If we add the square of the digit inthe tens place of a positive two-digit number to the product of the digits of that number, we shall get 52, and if we add the square of the digit in the units place to the same product of the digits, we shall get 117. Find the two- digit number?.
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