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Solving Equations with Variables on Both Sides

You take 5 ...

Question

You take $5$ less than thrice a number and add $7$ . The result is $14$ . The number is

5

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4

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6

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2

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Solution

The correct option is D $4$
Let the number be $x$ .
Then according to the given condition,
$(3 x - 5) + 7 = 14$
$\Rightarrow 3 x + 2 = 14$
$\Rightarrow 3 x = 12$
$\Rightarrow x = \frac{12}{3}$
$\Rightarrow x = 4$
Hence, the required number is $4$ .

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10

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Add using number line:

(1) 5 and 3

(2) 6 and 2

(3) (−3) and (+5)

(4) 8 and (−12)

(5) (−7) and 5

(6) 10 and (−14)

(7) (−5) and (−2)

(8) (+6) and (−9)

(9) (−4) and (−1)

(10) 1 and (−5)

Set up equations and solve them to find the unknown numbers in the following cases:

(a) Add 4 to eight times a number; you get 60.

(b) One-fifth of a number minus 4 gives 3.

(d) When I subtracted 11 from twice a number, the result was 15.

(e) Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8.

(f) Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.

(g) Anwar thinks of a number. If he takes away 7 from of the number, the result is 23.

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