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.

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

Step-by-step 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= 0.675 (3 s.f.)

Substitute the value of x into (2):

y= 51.3 (3 s.f.)

45

step-by-step explanation: