Question

A number divided by 4 and increased by 6 gives 10. Find the number​

Answer 1

Answer :-

• Number = 16

Given :-

• A number which is divided by 4 and then is increased by 6 to give a result = 10

To Find :-

• The number.

Step By Step Solution :-

Let us consider the number as x.

Now, according to the statement the equation for this question will be ⤵

$\implies\sf\cfrac{x}{4}+6=10$

Now, let's solve this equation!!

$\implies \sf \cfrac{x}{4} + 6 = 10 \\ \\ \implies \sf \cfrac{x + 24}{4} = 10 \\ \\ \implies \sf \: x + 24 = 4 \times 10 \\ \\ \implies \sf \: x + 24 = 40 \\ \\ \implies \sf \: x = 40 - 24 \\ \\ \implies \sf \: x = 16$

Therefore the value of x = 16

Verification :-

L. H. S. ⤵

$\implies \sf \cfrac{x}{4} + 6$

By Substituting the value ⤵

$\implies \sf \cfrac{16}{4} + 6 \\ \\ \implies \sf \cfrac{16 + 24}{4} \\ \\ \implies \sf \cancel\cfrac{40}{4} \\ \\ \implies \sf10$

R. H. S.

=> 10

Therefore L. H. S. = R. H. S.

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