Question

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



do it fast plzzzzzzz​

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,

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

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

$\implies \sf{(x - 14) = 14}$

$\implies \sf{x = 14 + 14}$

$\implies \sf \red{x = 28}$

The Number is 28

VERIFICATION:-

By substituting the x as 28 in the equation,

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

$\implies \sf{(28 - 14)7 = 98}$

$\implies \sf{(14)7 = 98}$

$\implies \sf{98 = 98}$

$\implies \sf{LHS = RHS}$

$\huge \blue{HENCE \: VERIFIED}$

Answer 2

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.

According to the question,

$: \implies \tt{(x - 14)\times 7 = 98 }$

$: \implies \tt{7x - 98 = 98 }$

$: \implies \tt{7x = 98 + 98 }$

$: \implies \tt{7x = 196}$

$: \implies \tt{x = \dfrac{196}{7} }$

$: \implies \tt{x = 28 }$

The value of x is 28.

•°• The number is 28.

Let's verify -

$: \implies \tt{(x - 14)7 = 98}$

$: \implies \tt{(28 - 14)7 = 98}$

$: \implies \tt{(14)7 = 98}$

$: \implies \tt{98 = 98}$

•°• Verified.