Question

The sum of two numbers is 35. Three times the larger number is the same as 4 times the smaller number. Find the larger number

Answer 1

let the 2 numbers be x and y
x+ y = 35
let the larger number be x

3x = 4y
y = 3x/4
so,
x + 3x/4 = 35
7x/4 = 35
x/4 = 5
x = 4*5 = 20

so the larger number is 20.