Quantitative Reasoning

Linear Equation

Easy

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

36, 12

48, 24

32, 8

12, 6

✅ Correct Option: 2

Let the two numbers be $x$ and $y$ . Then $x - y = 24$ and $x = 2y$ . Substituting: $2y - y = 24$ , so $y = 24$ and $x = 48$ . The numbers are 48 and 24.

2023: 24 May Shift 3

Match List - I with List - II.

List - I	List - II
(1) $14 - \frac{1}{10}(x+3) = \frac{5}{6}x$	(I) 4
(2) $(x-5)^2 - (x+3)^2 = 48$	(II) $-\frac{23}{2}$
(3) $6(x-4) = 4(x-3) - (3x-8)$	(III) 61
(4) $(2x-1)(2x+3) = (2x-7)(2x+7)$	(IV) $-2$

Choose the correct answer from the options given below:

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For what value of k, the system of equations $kx + 4y - k + 4 = 0$ and $16x + ky = k$ has an infinite number of solutions?

The difference between two numbers is 24. If one number is 2 times the second. Then the two numbers will be:

Solution

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