Question

The ratio of the present ages of Pandeyji and Chutki is 5 : 8. After 8 years, the ratio of their ages will be 7 : 10, find the ratio of their ages after 12 years​

Answer 1

Step-by-step explanation:

p=(5/8)q

(p+4)=2/3(q+4)

Distribute

p+4=2/3(q)+2/3(4)

Do math

p+4=2/3(q)+8/3

Substitute (5/8)q for p

(5/8)q+4=2/3(q)+8/3

Subtract 5/8(q) from both sides, subtract 8/3 from both sides

4–8/3=2/3(q)-5/8(q)

Find LCDs of fractions

12/3–8/3=16/24q-15/24q

Combine like terms

4/3=1/24(q)

Multiply both sides by 24

96/3=q

Reduce fraction

q=32

Substitute 32 for q

p=5/8(32)

Do math

p=20

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