CUET UG 2025 — General Test Quantitative Reasoning

Given:

$2x + 3y = 26$2x+3y=26 ... (Equation 1)

$y - x = 2$y−x=2 ... (Equation 2)

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From Equation 2:

$$y - x = 2$$y−x=2

$y = x + 2$y=x+2 ... (Equation 3)

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Substituting into Equation 1:

$$2x + 3(x + 2) = 26$$2x+3(x+2)=26

$$2x + 3x + 6 = 26$$2x+3x+6=26

$$5x + 6 = 26$$5x+6=26

$$5x = 20$$5x=20

$$x = 4$$x=4

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From Equation 3:

$$y = x + 2$$y=x+2

$$y = 4 + 2$$y=4+2

$$y = 6$$y=6

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Therefore:

$$x + y = 4 + 6 = 10$$x+y=4+6=10

The value of $x + y$x+y is $10$10.