Write an equation for the following statement. Three-fourth of a number is 5 more than 7.
Answers
Answer:
Let us suppose that, the given number is x.
Now, we need to find the value of x using the given statement. Let us first find the form of the number which is being used in the statement. Four-fifths of a number means we need to find
4
5
th of numbers. Here, we have the supposed number as x. So we get
4
5
×x.
Four fifth numbers ⇒
4
5
x.
Similarly, three fourth of a number means we need to find
3
4
th of x which becomes equal to
3
4
×x.
Hence, three fourth of the number ⇒
3
4
x.
Now we are given that four-fifths of the number is 4 more than three-fourths of numbers. So we can say
4
5
x is 4 more than
3
4
x.
In mathematical terms, we can write it as:
4
5
x=4+
3
4
x.
Hence we have formed an equation in terms of x. Let us solve it to find the value of x.
Taking terms containing x on the left side of the equation, we get:
4
5
x−
3
4
x=4.
Taking LCM of 20 on the left side of the equation, we get:
⇒
(4×4)x−(3×5)x
20
=4 ⇒
16x−15x
20
=4 ⇒
x
20
=4 .
Cross multiplying we get:
⇒x=4×20=80
Hence the value of x is 80.
Since x was supposed to be the given number, so our required number is 80.
3t by 4 = 15
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