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Now, solving equation (iii) and (v), we get (iv) Multiplying both sided of equation (iv) by 2, we get (i) If 3 is subtracted from numerator and denominator the fraction becomes 4/5 so, we haveĪnd 5x – 4y = 3 ………. If 2 is added to the numerator and denominator fraction becomes 9/10 so, we have Substituting the value of y = 2 in equation (i),we getģ. If 2 is added to the numerator and denominator it becomes 9/10 and if 3 is subtracted from the numerator and denominator it become 4/5. Substituting the value of x = 3y in equation (i), we get Therefore, we have 10y + x + 36 = 10x + y If 36 is added to the number, digits interchange their places, The number obtained by reversing the digits is 10x + y. If 36 is added to the number, the digits interchange their place. The units digit is thrice the tens digit. Substituting the value x in equation (i), we getĢ. Solution:Īdding equation (i) and (ii), we get 2x = 16 The sum of two number is 14 and their difference is 2. Worked-out examples for the word problems on simultaneous linear equations: 1.
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