Question

you get 6, when you subtract 2 from one fifth of number z​

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CBSE

Mathematics

Grade 8

Applications of Linear Equations in...

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Set up equations and solve them to find 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.

(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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Hint: Here, we may just follow the steps which each statement says and write equations according to that, on solving the equations so formed we may get the required unknown numbers.

Complete step-by-step solution -

So at first we are going through the case (a):

Let us consider the required unknown number be =x.

So, eight times of this number will be 8x.

Now on adding 4, it becomes 8x + 4, so according to question we have:

8x+4=60

Or, 8x=60−4

Or, x=568

Or, x=7

Hence for question (a) required number is =7.