# Age of L and H are in ratio 7:5 ten years hence ratio of their age will be 9:7 .find present age

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by jitesh1

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by jitesh1

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L/H = 7/5

⇒ L = 7H/5

after 10 years,

(L+10)/(H+10) = 9/7

⇒ 7(L+10) = 9(H+10)

⇒ 7L + 70 = 9H + 90

⇒ 7(7H/5) - 9H = 90 - 70

⇒ 49H/5 - 9H = 20

⇒ 4H/5 = 20

⇒ H = 5*20/4 = 25

L = 7H/5 = 7*25/5 = 35

Age of L = 35

Age of H = 25

⇒ L = 7H/5

after 10 years,

(L+10)/(H+10) = 9/7

⇒ 7(L+10) = 9(H+10)

⇒ 7L + 70 = 9H + 90

⇒ 7(7H/5) - 9H = 90 - 70

⇒ 49H/5 - 9H = 20

⇒ 4H/5 = 20

⇒ H = 5*20/4 = 25

L = 7H/5 = 7*25/5 = 35

Age of L = 35

Age of H = 25

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

L / H = 7 / 5

5 L - 7 H = 0

(L+10) / (H+10) = 9 / 7

7L + 70 = 9 H + 90

7 L - 9 H - 20 = 0

0 5 -7 0 L = 140/4 = 35 yrs

20 7 -9 20 H = 100/4 = 25 yrs

H L

5 L - 7 H = 0

(L+10) / (H+10) = 9 / 7

7L + 70 = 9 H + 90

7 L - 9 H - 20 = 0

0 5 -7 0 L = 140/4 = 35 yrs

20 7 -9 20 H = 100/4 = 25 yrs

H L