Question

Two men's ages are the ratio 4:5. In 10 years time they will be in the ratio 6:7 find their age.​

Answer 1

Answer:

30 and 40

Step-by-step explanation:

Use the information you have to set up two equations. Let their ages be x and y.

Today, 4x = 3y, or equivalently, x=(3/4)y

In ten years each age has increased by 10, so we can write this as 5(x+10) = 4(y+10)

5x+50 = 4y+40

5x + 10 = 4y

(5/4)x + (10/4) = y

From the first equation, we know x=(3/4)y, so we plug that into our second equation for x….

(5/4)(3/4)y + (10/4) = y

(15/16)y + (40/16) = (16/16)y

(40/16) = (1/16)y

40 = y

Back to our original equation, where x=(3/4)y, we use our derived value of y to solve for x:

x = (3/4) (40)

x = 30

So the ages (today) are 30 and 40.

Answer 2

Answer:

answer is 20 years and 25 years

Step-by-step explanation:

step by step explanation is given in image

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