Question

One year ago, the ratio of vinays and sinoys age was 6: 7 respectively. Four years hence, this ratio would become 7: 8. How old is sinoy

Answer 1

Answer:

28 years

Step-by-step explanation:

$\text{Ratio of present ages of Vinay and Sinoy = 6:7}\\\\\text{Let the present age of Vinay be 6x and of Sinoy be 7x}\\\\\text{After 4 years, Age of Vinay = 6x+4 and Age of Sinoy = 7x+4}\\\\\text{But, given ratio of their ages after 4 years = 7:8}\\\\\text{According to the question,}\\\\\dfrac{6x+4}{7x+4} = \dfrac{7}{8}\\\\\\\implies 8(6x+4) = 7(7x+4)\\\\\implies 48x + 32 = 49x + 28\\\\\implies 48x - 49x = 28 - 32\\\\\implies -1x = -4\\\\\text{Multiplying both sides by -1,}$

$-1 \times -x = -1 \times -4\\\\\implies +x = +4\\\\or \: \: \boxed{x = 4}\\\\\text{Thus, present age of Sinoy = 7x = 7 \times 4 = } \boxed{\boxed{\bold{28 years}}}$

Hope it helps.

Answer 2

ʀᴇғᴇʀ ᴀʙᴏᴠᴇ ᴀᴛᴛᴀᴄʜᴍᴇɴᴛ