Question

If 11/4 = 77/x, then x =


28

77/28

44

308

​

Answer 1

Question:-

If 11/4 = 77/x, then x =

a) 28

b) 77/28

c) 44

d) 308

Answer:-

• The value of x is 28.

To find:-

• Value of x

Solution:-

$\large{ \tt : \implies \: \: \: \: \: \frac{11}{4} = \frac{77}{x} }$

After cross multiplication,

$\large{ \tt : \implies \: \: \: \: \: 11 \times x = 77 \times 4}$

$\large{ \tt : \implies \: \: \: \: \: x = \frac{77 \times 4}{11} }$

$\large{ \tt : \implies \: \: \: \: \: x = 7 \times 4}$

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

• The value of x is 28.

Verification :-

$\large{ \tt : \implies \: \: \: \: \: \frac{11}{4} = \frac{77}{28} }$

$\large{ \tt : \implies \: \: \: \: \: \frac{11}{4} = \frac{11}{4} }$

HENCE VERIFIED!!

Hence,

The correct option is (a)

Answer 2

➤ Answer :-

$\tt \to \dfrac{11}{4} = \dfrac{77}{( \sf x)}$

To find the value of (x) in the following sum, we should divide 77 and 11, then multiply the obtained value with 4.

$\sf \to(x) = \tt \dfrac{77}{11} \times 4$

$\tt \to\cancel \dfrac{77}{11} \times 4 = \boxed{ \tt7 \times 4}$

$\sf(x) \: \tt = \: 28$

Equivalent fraction :-

$\tt \to \dfrac{11}{4} = \dfrac{77}{28}$

$\:$

When $\tt\dfrac{77}{28}$ is written in the lowest form it becomes $\tt\dfrac{11}{4}$

So, the both fractions are equal.

$\Huge\therefore$Option (A) 28 is the correct answer.