Question

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

Answer 1

Answer:

120

Step-by-step explanation:

Let, number is x

The student had to find x/4 = 3x/4

He had found x +4/3 = 4x/3

Now, 4x/3 – 3x/4 = 70 (given)

= 16x -9x/12 = 70

= 7x = 70 × 12

= x = 70 × 12/7

= 120

Hence, the number is 120.

Answer 2

Answer:

let the number be x.

When multiplied with 4/3

Answer=

$\frac{4}{3} \times x = \frac{4}{3}x$

When divided by 4/3

Answer=

$x \div \frac{4}{3} = x \times \frac{3}{4} = \frac{3}{4}x$

Wrong answer= 4x/3

Correct answer= 3x/4

Difference between wrong and correct answers =70

$\frac{4}{3} x - \frac{3}{4} x = 70 \\ \frac{16x - 9x}{12} = 70 \\ \frac{7x}{12} = 70 \\ 7x = 70 \times 12 \\ x = \frac{70 \times 12}{7 } \\ x = 120$

hence, the required number is 120

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