Question

A number is four times another number. If the larger number is subtracted from
200, the result is 40 less than the number obtained by subtracting the smaller
number from 24. What are the two numbers?

Answer 1

Answer:

let the no. be x

other no. = 4x

200 - 4x = 24-x - 40

200+ 16 = -x +4x

216=3x

x= 72

4x= 288

Step-by-step explanation:

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Answer 2

Answer:

Larger no. = 288

Smaller no. = 72

Step-by-step explanation:

Let larger no be x

smaller no. be y

According To Condition 1,

x=4(y)

x-4y = 0---(1)

According To Condition 2,

x-200 = y-24+40

x-y = 216----(2)

By Elimination,

•Eliminate x

Sub

x - y = 216

-x +4y = 0

3y = 216

y = 72

Substituting y=72 in (2)

x- y = 216

x = 288