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Solving Equations with Variables on Both Sides

When I triple...

Question

When I triple a certain number and add $2$ , I get the same answer as I do when I subtract the number from $50$ . Find the number.

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Solution

Let the unknown number be $x$
Writing given condition into equations, we get $3 x + 2 = 50 - x$
$3 x + x = 50 - 2$
$4 x = 48$
$x = 12$

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Q. A man says, “I am thinking of a number. When I divide it by 3 and then add 5, my answer is twice the number I thought of”. Find the number.

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.

(c) If I take three-fourths of a number and add 3 to it, I get 21.

(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.

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(ii) If

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is subtracted from five times a number. the resulted is half the original number find the number.

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add my number to a quater of my number,

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Q. 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 .
(c) If I take three -fourths of a number and add 3 to it . I get 21 .
(d) When I substracted 11 from twice a number , the result was 15 .
(e) Munna substracts 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 .

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Solving Equations with Variables on Both Sides

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