Question

the sum of one-fifth of a number and 3 7/10 is 7. find the number

Answer 1

Answer

16.5

Step-by-step explanation:

let 1/5 of a number be x/5.

According to the condition

x/5+37/10=7

therefore,

2x/10+37/10=7 ...L.C.M.

therefore,

2x+37/10=7

therefore,

2x+37=70 ... Multiply equation by 10

therefore,

2x=70-37

2x=33

x=33/2

therefore,

x=16.5

Ans. The required number is 16.5

Answer 2

The sum of one-fifth of a number and 3 7/10 is 7. Then the number is 16.5

Solution:

Let the number be "x"

By given,

The sum of one-fifth of a number and 3 7/10 is 7

$\frac{x}{5} + 3\frac{7}{10} = 7$

Convert the mixed fraction to improper fraction

$\frac{x}{5} + \frac{37}{10} = 7$

Make the denominators same

$\frac{x \times 2}{5 \times 2} + \frac{37}{10} = 7\\\\\frac{2x}{10} + \frac{37}{10} = 7\\\\2x + 37 = 7 \times 10\\\\2x + 37 = 70\\\\2x = 70 - 37\\\\2x = 33\\\\x = \frac{33}{2}\\\\x = 16.5$

Thus number is 16.5

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