Question

Find a number if 20 less than the number equals three times the sum of twice the number and 20.
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please tell the ans only if you know!!​

Answer 1

Answer:

Given :-

• A number which is 20 less than the number equal three times the sum of twice the number is 20.

To Find :-

• What is the number.

Solution :-

Let,

$\mapsto \bf Number =\: x$

According to the question,

$\longrightarrow \sf (x - 20) =\: 3\bigg(2x + 20\bigg)$

$\longrightarrow \sf x - 20 =\: 3(2x) + 3(20)$

$\longrightarrow \sf x - 20 =\: 6x + 60$

$\longrightarrow \sf x - 6x =\: 60 + 20$

$\longrightarrow \sf - 5x =\: 80$

$\longrightarrow \sf x =\: \dfrac{\cancel{80}}{- \cancel{5}}$

$\longrightarrow \sf\bold{\red{x =\: - 16}}$

${\small{\bold{\underline{\therefore\: The\: number\: is\: - 16\: .}}}}$

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

$\bigstar\: \: \sf\boxed{\bold{\purple{VERIFICATION\: :-\:}}}\: \: \bigstar$

$\implies \sf (x - 20) =\: 3\bigg(2x + 20\bigg)$

By putting x = - 16 we get,

$\implies \sf \{(- 16) - 20\} =\: 3\bigg(2\{- 16\} + 20\bigg)$

$\implies \sf - 36 =\: 3\bigg(- 32 + 20\bigg)$

$\implies \sf - 36 =\: 3\bigg(- 12\bigg)$

$\implies \sf\bold{\pink{- 36 =\: - 36}}$

$\implies \sf\bold{L.H.S =\: R H.S}$

Hence, Verified.

Answer 2

$\green{ \boxed{ \odot \: \: \bf \: The \: number \: is \: = - 16}}$

Step-by-step explanation:

Given,

★ A number that is 20 less than the number equals three times the sum of twice the number and 20.

We have to find :

→ The number

Solution :

Let assume that,

The number is = x

Now according to the question, the condition is :

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf \: x - 20 = 3(2x + 20) \\ \bf \implies \: x - 20 = 6x + 60 \\ \bf \implies \: 6x - x = - 20 - 60 \\ \bf \implies \: 5x = - 80 \\ \bf \implies \: x = \frac{ - 80}{5} \\ \bf \implies \: x = - 16 \\ \\ \bf \therefore \: x = - 16 \\ \\ \green{\sf \: so \: the \: number \: is \: = - 16}$