Question

If 14 is subtracted from a certain number and the
result is multiplied by 7, the product is 98. Find the
number.​

Answer 1

GIVEN :-

• If 14 is subtracted from a number and multiplied by 7 gives the product as 98

TO FIND :-

• The number

SOLUTION :-

Let the number be 'x'

If 14 is subtracted from the number then the number becomes (x - 14 )

According to the question ,

$\implies \sf \: (x - 14)7 = 98 \\ \\ \implies \sf \: (x - 14) = \frac{98}{7} \\ \\ \implies \sf \: (x - 14) = 14 \\ \\ \implies \sf \: x = 14 + 14 \\ \\ \implies {\underline{\bold {\boxed {\blue {\sf { \: x = 28}}}}}}$

∴ The Number is 28

VERIFICATION :-

By substituting the x as 28 in the equation ,

$\implies \sf \: (x - 14)7 = 98 \\ \\ \implies \sf \: (28 - 14)7 = 98 \\ \\ \implies \sf \: (14)7 = 98 \\ \\ \implies \sf \: 98 = 98 \\ \\ \implies \sf \: LHS = RHS$

$\huge {\underline {\bold {\boxed{ \rm{ \green{HENCE\: \: VERIFIED}}}}}}$

Answer 2

$\sf\underline\red{Given\:that:-}$

If a number 14 subtracted from a certain number and the result is multiplied by 7 ,then its product is 98

$\sf\underline\blue{To\:find:-}$

• The number

$\sf\underline\orange{Solution:-}$

First of all,Let us take the number as x.

Then It is given that 14 is subtracted from the number.

Therefore,The number will be =(x-14)

Now,A/Q

$\sf{↦(x-14)×7=98}$

$\sf{↦(x-14)=}\frac{98}{7}$

$\sf{↦x-14=14}$

$\sf{↦x=14+14}$

$\sf{↦x=28}$

Therefore the number is 28.

$\sf\fbox\green{Verification:-}$

$\sf{(x-14)7=98}$

Putting the value.

↦(28-14)7=98

↦14×7=98

↦98=98

Hence,the both sides are equal , Therefore the answer is verified.