Question

of the three numbers the sum of first two is 45 and the sum of second and third is 55 and the sum of third and thrice the first is 90 find the numbers with linear equation one variable

Answer 1

let the numbers be a,b,c respectively
given,
X1+X2=45 be the equation 1
X2+X3= 55 be the equation 2
X3+3X1= 90 be the equation 3
from equation 3, X3= 90-3X1 be equation 4
from equations 4 and 2
X2= 55-90+3X1 be equation 5
from equations 5 and 1
X1-35+3X1= 45
4X1-10=0 is the linear equation in one variable.