Question

a student had multiplied a number by 4/3 instead of dividing it by 4/3 and got 70 more.find the number. ​

Answer 1

Answer:

120

Step-by-step explanation:

let the number be x

Given

$x \times \frac{4}{3} =( x \div \frac{4}{3} ) + 70$

$x( \frac{4}{3} - \frac{3}{4} ) = 70$

$\frac{7x}{12} = 70$

$x = 120$

Answer 2

The number is 120.

Given:

• A student had multiplied a number by 4/3 instead of dividing it by 4/3 and got 70 more.

To find:

• find the number.

Solution:

Step 1:

Let the number is x.

So,

ATQ

$\bf x \times \frac{4}{3} = (x \div \frac{4}{3}) + 70$

Step 2:

Solve the equation for x.

$\frac{4x}{3} - \frac{3x}{4} =70$

Take LCM and simplify.

$\frac{16x - 9x}{12} = 70$

or

$\frac{7x}{12} = 70$

or

$\frac{x}{12} = 10$

or

$\bf x = 120$

Thus,

The number is 120.

Verification:

• Multiply the number by 4/3.
• 120×4/3=160...eq1
• Divide the number by 4/3
• 120×3/4=90...eq2
• Difference of both eq1-eq2
• 160-90=70

Hence verified.

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