4. Sum of the three numbers is 16. The second number is 2 less than the first number and
the third is four times the first number. Find the three numbers.
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Answer:
let the first no be x
second no= x-2
third no= 4x+x-2+x=16
4x+x+x=16+2
4x+x+x=18
6x=18
x=18÷6
x=3
second no.=x-2
= 3-2
=1
third no.= 4x
= 4×3
=12
the three numbers are 3,1,12
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The three numbers are 3 , 1 , 12.
- Let the three numbers be x,y and z.
- Sum of numbers is 16.
x+y+z = 16 ......(Equation 1)
- Second number is 2 less than first number.
y = x- 2 .......(Equation 2)
- Third number is 4 times the first number.
z = 4x ......(Equation 3)
- Substituting the value of y and z in equation 1 from equation 2 and 3
x + (x-2) +4x =16
6x = 18
x = 3
- Substituting the value of x in equation 2 and 3 to find y and z respectively.
- y = 3 -2 = 1
- z = 4x = 4(3) = 12
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