Question

the sum of two numbers is 52. If one number is 76 times the second number, then find the largest number out of the two.

Answer 1

The larger number is 51.3. (to 3 s.f.)

Explanation:

Let the smaller number be x and the larger number be y.

Given that the sum of the 2 numbers is 52,

x +y= 52 -----(1)

One number is 76 times the second number. Since we have made y to be the larger number,

y= 76x -----(2)

Substitute equation (2) into (1):

x +76x= 52

Simplify:

77x= 52

Divide both sides by 77:

x= 52 ÷77

`x = (52)/(77)`

x= 0.675 (3 s.f.)

Substitute the value of x into (2):

`y = 76( (52)/(77) )`

`y = 51 (25)/(77)`

y= 51.3 (3 s.f.)