Separate 39 into two parts such that 4 times the smaller exceeds the larger number 6

Mathematics

1 answer:

omeli [17]3 years ago

8 0

Answer:

39 is separated into two parts 9 and 30.

Step-by-step explanation:

To find : Separate 39 into two parts such that 4 times the smaller exceeds the larger number 6 ?

Solution :

Let the smaller part is x and larger part is y.

39 is separate into two parts x and y

i.e. $x + y = 39$ ....(1)

4 times the smaller exceeds the larger number 6

i.e. $4x - y = 6$ ....(2)

Solving (1) and (2) by adding both equations,

$x + y+4x-y= 39+6$

$5x=45$

$x=9$

Substitute the value of x in equation (1),

$9+ y = 39$

$y=30$

The smaller part is 9 and the larger part is 30.

39 is separated into two parts 9 and 30.

You might be interested in

Write each ratio statement as a fraction and reduce to lowest terms if possible:

qwelly [4]

The answers are:

18 to 24 = $\frac{18}{24} = \frac{3}{4}$

5 to 15 = $\frac{5}{15} = \frac{1}{3}$

14:42 = $\frac{14}{42} = \frac{1}{3}$

15 cents to 18 cents = $\frac{15}{18} = \frac{5}{6}$

Explanation:

To write a fraction using a ratio, simply use the first number as the numerator (top number), in this case, the numbers 18, 5, 14, and 15, and the second or biggest number as a denominator (bottom number), in this case, the numbers 24, 15, 42 and 18. This means the fractions are $\frac{18}{24}$ , $\frac{5}{15}$ , $\frac{14}{42}$ , and $\frac{15}{18}$ .

The second step is to reduce or simplify the fractions, which means the numbers in a fraction are divided by the same factor (a number that divides another without a remainder). Additionally, to do this, it is important to reduce the fraction to its minimum.

$\frac{18}{24}$ divide this by 6, which is equivalent to $\frac{3}{4}$