Question

Two number are in ratio5:3 and their difference is 10. what is the product of two number?
A. 250
B. 375
C. 175
D. 625

Answer 1

Ok so if we call one number x and one number y we can reach a system of simultaneous equations
as the difference between the two numbers is 10 we can say that x+10=y

Answer 2

This means that we are assuming that y is the larger of the 2 numbers.
This gives the other equation to be 3y=5x

Answer 3

Do you know where to go from here?

Answer 4

Hint: Solve the equations by substitution

Answer 5

i have no idea which option is right in their options

Answer 6

No worries!
Ok so what we can do is say that 3(10 +x) =5x

Answer 7

When we solve this we get that x=15
as y=10+x
y must be 25

Answer 8

When they say find the product, they mean multiply, therefore to get the answer you do 15*25 = 375

Answer 9

Does this all make sense?

Answer 10

thanks dud

Answer 11

yw!