Question

A 2-digit number divided by another 2-digit number gives 3.625.what are the numbetes?

Answer 1

The numbers are 58 and 16.

Given:

The quotient of division = 3.625.

To Find:

We have to find the two two-digit numbers that give the quotient 3.625 on division.

Solution:

Given that, the quotient of division = 3.625.

The given decimal number can be rewritten as follows.

$i.e, 3.625 = \frac{3265}{1000} .$

The above fraction can be written as,

$\frac{3265}{1000} = \frac{145 × 25}{40 × 25} = \frac{145 }{40 }$

The above fraction can be simplified as,

$\frac{145 }{40 } = \frac{29 × 5}{8 × 5} = \frac{29}{8} .$

It is given that the numbers are two-digit numbers. But here the denominator is not a two-digit number.

Multiplying the numerator and denominator of the above fraction by 2 will give us an equivalent fraction as follows.

$\frac{29}{8} = \frac{29 × 2}{8 × 2} = \frac{58}{16}.$

$i.e.,$ 58 and 16 are the two two-digit numbers.

Hence, the 2 two-digit numbers that give 3.625 on division are 58 and 16.

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