Question

Please answer this question

Answer 1

Answer:

24 and 21

Step-by-step explanation:

• Current ages are x and y
• Ratio of current ages is x:y= 8:7
• Ratio of ages 6 years later is (x+6):(y+6)=10:9

We have 2 equations and let't solve them:

• x/y=8/7  ==>x=8y/7  ==== 1

• (x+6)/(y+6)=10/9  ==== 2

• 9(x+6)=10(y+6)
• 9x+54=10y+60
• 9x=10y+6     =====  Replacing x as per first equation
• 9*8y/7=10y+6
• 72y=7(10y+6)
• 72y=70y+42
• 2y=42
• y=21

• x=21*8/7=24

So ages are 24 and 21