Question

If The Terms 7,a, 28,8 are in proportion , then a is options (2,7,8,56)​

Answer 1

Answer:

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Answer 2

ＧＩＶＥＮ:-

If The Terms 7,a, 28,8 are in proportion.

ＴＯ ＦＩＮＤ:-

The value of a.

ＳＯＬＵＴＩＯＮ:-

It is said they are in proportion.

So,

$\large{\boxed{\bf{\dfrac{a}{b}=\dfrac{c}{d}}}}$

where,

• a is 7
• b is a
• c is 28
• d is 8

Putting the values,

$\large\implies{\sf{\dfrac{7}{a}=\dfrac{28}{8}}}$

By cross multiplying,

$\large\implies{\sf{7\times8=28\times\:a}}$

$\large\implies{\sf{56=28a}}$

$\large\implies{\sf{\dfrac{56}{28}=a}}$

$\large\implies{\sf{\dfrac{\cancel{56}}{\cancel{28}}=a}}$

$\large\implies{\sf{2=a}}$

$\large\therefore\boxed{\bf{a=2}}$

ＶＥＲＩＦＩＣＡＴＩＯＮ:-

$\large\implies{\sf{\dfrac{7}{2}=\dfrac{28}{8}}}$

By cross multiplying,

$\large\implies{\sf{7\times8=28\times\:2}}$

$\large\implies{\sf{56=56}}$

$\large\therefore\boxed{\bf{LHS=RHS}}$

Hence verified.

The value of a is 2.