Answer:
30
Step-by-step explanation:
Since the ratio between the first/ second number is 2 : 3
Let them be represented by
2x : 3x
The ratio between the second/ third numbers is 5 : 8, then
third number = [tex]\frac{8}{5}[/tex] × 3x = [tex]\frac{24}{5}[/tex] x = 4.8x
We have the 3 numbers in the ratio 2x : 3x : 4.8x
Sum the numbers and equate to 98
2x + 3x + 4.8x = 98
9.8x = 98 ( divide both sides by 9.8 )
x = 10
Hence the 3 numbers are
2x = 20, 3x = 30 and 4.8x = 48, that is
20, 30, 48 ← sum = 98
Thus the second number is 30
Answer:
⇒n2=30
Step-by-step explanation:
⇒n2=30
Explanation:
Let the first number be n1
Let the second number be n2
Let the third number be n3
Given that n1n2=23
Given that n2n3=58
Given that n1+n2+n3=98 .................................(1)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider n1n2=23
Write this as 3n1=2n2
So n1=23n2 .................................................(2)
,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider n2n3=58
Write this as 8n2=5n3
So n3=85n2......................................................(3)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Substitute (3) and (2) into (1) giving:
n1+n2+n3=98 → 23n2+n2+85n2=98
⇒n2(10+1+2415)=98
⇒n2=30
