Question

the present age of ram and diva are in the ratio 5:4 six years hence their ages will be in the ratio 7:6 .find their present age​

Answer 1

• Let the present age of Ram be 5x
• Present age of Divya = 4x

${\red{\frac{5x+6}{4x+6}= \frac{7}{6}}} \\</p><p>\:\:\:\:\:\:\: ⠀⠀⠀{\red{→6(5x+6) = 7(4x+6)}} \\</p><p>\:\:\:\:\:\:\:\: ⠀⠀{\red{→30x+36= 28x+42}} \\</p><p>\:\:\:\:\:\:\:\:⠀⠀{\red{→30x-28x=42-36}} \\</p><p>{\red{→2x=6}} \\</p><p>{\red{→x= \frac{6}{2}}} \\</p><p>{\pink{\underline{\green{→ x=3}}}}$

• ${\blue{\bf Age\: of \:Ram \:= 3x5=15}}$
• ${\blue{\bf Age\: of \:Divya \:= 4x3 = 12}}$

Hence their present ages are 15 and 12 respectively...

Answer 2

Answer:

∴ Hari's age: 5x, Harry's age ⇒7x

and four years later: Ages will be 5x+4 and 7x+4

As per the question:

7x+4

5x+4

=

4

3

4(5x+4)=3(7x+4)

20x+16=21x+12

20x−21x=12−16

−x=−4

x=4

Hari's age =5x=5×4=20 years

Harry's age =7x=7×4=28 years

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Step-by-step explanation:

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