Question

The ratio of two numbers is 5 : 7 . If added in each number, then the ratio becomes 25 : 31 , Find the numbers.

Plz Answer Fast !!!!

Answer 1

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SᴏʟᴜᴛɪᴏN -

✎ Lᴇᴛ Tʜᴇ Fɪʀꜱᴛ Nᴜᴍʙᴇʀ Bᴇ 5x Aɴᴅ Sᴇᴄᴏɴᴅ Nᴜᴍʙᴇʀ Bᴇ 7x .

✎ Fᴏʀ Tʜᴇ Gɪᴠᴇɴ Cᴏɴᴅɪᴛɪᴏɴ,

$\frac{5x + 40}{7x + 40} = \frac{25}{31} \\ </p><p>31(5x + 40) = 25 (7x + 40) \\ </p><p>155x + 1240 = 175x + 1000 \\ </p><p>1240 - 1000 = 175x - 155x \\ </p><p>240 = 20x \\ </p><p>\boxed{x = 12}$

$\therefore$ Fɪʀꜱᴛ ɴᴜᴍʙᴇʀ = $\boxed{5 × 12 = 60}$ & Sᴇᴄᴏɴᴅ ɴᴜᴍʙᴇʀ = $\boxed{7 × 12 = 84}$

$\therefore$ Gɪᴠᴇɴ Nᴜᴍʙᴇʀꜱ ᴀʀᴇ 60 ᴀɴᴅ 84 .

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