हिंदी

If 12x + 17y = 53 and 17x + 12y = 63 then find the value of (x + y).

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प्रश्न

If 12x + 17y = 53 and 17x + 12y = 63 then find the value of (x + y).

योग
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उत्तर

The given pair of equations is

12x + 17y = 53   ...(i)

17x + 12y = 63   ...(ii)

Adding (i) and (ii), we get

(12x + 17x) + (17y + 12y) = 53 + 63

29x + 29y = 116

29(x + y) = 116

`x + y = 116/29`

⇒ x + y = 4   ...(Dividing by 4)

Hence, the value of x + y is 4.

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अध्याय 3: Linear Equations in Two Variables - EXERCISE 3F [पृष्ठ १६२]

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 3 Linear Equations in Two Variables
EXERCISE 3F | Q 15. | पृष्ठ १६२
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