assume two numbers x and y
the sum of x and y is,x+y=90-------(1)
and also the x is 14 more than three times of y
x=3y+14
let substitute the value of x in equation (1)
3y+14+y=90
4y=90-14
4y=76
=>y=19
x=3(19)+14
x=57+14
x=71
Let the numbers be x and y, where x is the larger number.
So according to the given data:
x+ y = 90
and
x = 3y + 14
use this value of x in first equation, you will get
3y + 14 + y = 90
4y = 76
y = 19
Now use the value of y again in the first equation, you will get
x + 19 = 90
x = 71