The present ages of Mary and Joseph are in the ratio 5 : 3. After 3 ye

1.	The present ages of Mary and Joseph are in the ratio 5 : 3. After 3 years sum of their ages will be 38. Find their present ages.
Answer» Ratio of present ages of Mary and Joseph = 5:3 = 5x : 3x After 3 years their ages = 5x + 3 : 3x + 3 Sum of their ages = 38 ⇒ 5x + 3 + 3x + 3 = 38 ⇒ 8x + 6 = 38 ⇒ 8x + 6 – 6 = 38 – 6 (Subtract 6 on both sides) ⇒ 8x = 32 ⇒ 8x/8 = 31/8 ⇒ x = 4 ⇒ Ratio of present ages = 5x : 3x = 5(4) : 3(4) = 20 : 12 Present ages of Mary and Joseph are 20 years and 12 years.

The present ages of Mary and Joseph are in the ratio 5 : 3. After 3 years sum of their ages will be 38. Find their present ages.

Answer»

Ratio of present ages of Mary and Joseph = 5:3 = 5x : 3x

After 3 years their ages = 5x + 3 : 3x + 3

Sum of their ages = 38

⇒ 5x + 3 + 3x + 3 = 38

⇒ 8x + 6 = 38

⇒ 8x + 6 – 6 = 38 – 6 (Subtract 6 on both sides)

⇒ 8x = 32

⇒ 8x/8 = 31/8

⇒ x = 4

⇒ Ratio of present ages = 5x : 3x

= 5(4) : 3(4) = 20 : 12

Present ages of Mary and Joseph are 20 years and 12 years.