Question

the sum of two numbers is 48 and five times the smaller number is equal to three times the greater number. find the number.​

Answer 1

Answer:

18, 30

Step-by-step explanation:

Let the smaller number be a and the larger number be b.

Then, 5a = 3b or, b = 5a/3.

Also, a + b = 48

Or, a + 5a/3 = 48

Or, (3a+5a)/3 = 48

Or, 8a/3 = 48

Or, a = 48 * 3/8 = 6*3 = 18

Thus, the two numbers are 8 and 5*18/3 = 6*5 = 30.

Answer 2

Answer:

18 and 30 is the required two numbers .

Step-by-step explanation:

Explanation:

Given , the sum of two numbers = 48

Let the smaller number be x and larger number be y ,

Step 1:

According to the question , sum of two digit is 48 .

⇒x + y = 48  ......(i)

And fives times the smaller number is equal to three times the greater numbers .

⇒5x = 3y  ⇒x = $\frac{3y}{5}$ .....(ii)

Put the value of x in equation (i) we get ,

⇒x + y = 48

⇒$\frac{3y}{5}$ + y = 48

⇒$\frac{3y + 5y }{5}$ = 48 ⇒ 8y = 240

⇒y = $\frac{240}{8} = 30$

Step 2:

Now put the value of y = 30 in (i) we get ,

⇒x + 30 = 48 ⇒ x = 18

Final answer :

Hence , 18  is the smaller number and 30 is the greater number .

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